LCM of 630 and 103

What is the LCM of 630 and 103?


LCM of 630 and 103

is 64890

Formula How to

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What is the Least Common Multiple of 630 and 103? The LCM, or Least Common Multiple, is a mathematical concept that represents the smallest number that is a multiple of two or more numbers. In other words, it's the smallest positive integer that is divisible by all the numbers in a given set.

The LCM is often used in solving problems involving fractions, ratios, and gcd (greatest common divisor). To find the LCM of two or more numbers, you can use various methods such as listing the multiples of each number, finding the prime factorization of each number, and using division algorithms. Once you have the LCM, you can use it to simplify expressions, convert between fractions and decimals, and solve problems involving ratios and proportions.

To find LCM (Least Common Multiple) between two numbers, mainly there are two methods available, Those are-

1. GCF Method: To find the LCM value using GCF method, use the simple formula-

lcm(a,b) =
(a × b)/gcf(a,b)

Where,

  • a = First integer value;
  • b = Second integer value;
  • gcf = Greatest common factor;

2. Prime Factorization Method: Find the prime factors of both number and then multiply of all the highest exponent prime factors value, you will get the LCM value.

For calculation, here's how to calculate LCM of 630 and 103 using those formula above, step by step instructions are given below

GCF Method:

  1. Input the value as per formula.
    lcm(630,103) =
    (630 × 103)/gcf(630,103)
  2. Calculate the numerator part and find the GCF of 630 and 103 in the denominator part.
    lcm(630,103) =
    64890/1
  3. After reduce the fraction, you will get the LCM value. Which is,
    64890

Prime Factorization Method:

  1. Find the prime factors of the first number 630.
    2, 3, 3, 5, 7
  2. Find the prime factors of the second number 103.
    103
  3. Multiply all the highest exponent prime factors is the LCM value. Which is,
    64890

Number LCM GCF
630 & 98 4410 14
630 & 99 6930 9
630 & 100 6300 10
630 & 101 63630 1
630 & 102 10710 6
630 & 103 64890 1
630 & 104 32760 2
630 & 105 630 105
630 & 106 33390 2
630 & 107 67410 1
630 & 108 3780 18

LCM (Least Common Multiple) of 630 and 103 is 64890.

SCM (Smallest Common Multiple) of 630 and 103 is 64890.