LCM of 168 and 110

What is the LCM of 168 and 110?


LCM of 168 and 110

is 9240

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What is the Least Common Multiple of 168 and 110? 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 168 and 110 using those formula above, step by step instructions are given below

GCF Method:

  1. Input the value as per formula.
    lcm(168,110) =
    (168 × 110)/gcf(168,110)
  2. Calculate the numerator part and find the GCF of 168 and 110 in the denominator part.
    lcm(168,110) =
    18480/2
  3. After reduce the fraction, you will get the LCM value. Which is,
    9240

Prime Factorization Method:

  1. Find the prime factors of the first number 168.
    2, 2, 2, 3, 7
  2. Find the prime factors of the second number 110.
    2, 5, 11
  3. Multiply all the highest exponent prime factors is the LCM value. Which is,
    9240

Number LCM GCF
168 & 105 840 21
168 & 106 8904 2
168 & 107 17976 1
168 & 108 1512 12
168 & 109 18312 1
168 & 110 9240 2
168 & 111 6216 3
168 & 112 336 56
168 & 113 18984 1
168 & 114 3192 6
168 & 115 19320 1

LCM (Least Common Multiple) of 168 and 110 is 9240.

SCM (Smallest Common Multiple) of 168 and 110 is 9240.