Least Common Multiple of 110, 506, 976, 192, 122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 110, 506, 976, 192, 122 i.e. 14815680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 110, 506, 976, 192, 122 is 14815680.

LCM(110, 506, 976, 192, 122) = 14815680

LCM of 110, 506, 976, 192, 122

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 110,506,976,192,122

Least Common Multiple (LCM) of 110,506,976,192,122 is 14815680

2 110, 506, 976, 192, 122
2 55, 253, 488, 96, 61
2 55, 253, 244, 48, 61
2 55, 253, 122, 24, 61
11 55, 253, 61, 12, 61
61 5, 23, 61, 12, 61
5, 23, 1, 12, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 61 x 5 x 23 x 1 x 12 x 1 = 14815680

Least Common Multiple of 110,506,976,192,122 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 110,506,976,192,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,506,976,192,122) = 2

common factors(in case of two or more numbers have common factors) = 42944

GCF(110,506,976,192,122) x common factors =2 x 42944 = 85888

LCM(110,506,976,192,122) = ( 110 × 506 × 976 × 192 × 122 ) / 85888

LCM(110,506,976,192,122) = 1272489123840 / 85888

LCM(110,506,976,192,122) = 14815680

∴ Least Common Multiple of 110,506,976,192,122 is 14815680

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 110, 506, 976, 192, 122

1. What is the LCM of 110, 506, 976, 192, 122?

Answer: LCM of 110, 506, 976, 192, 122 is 14815680.

2. What are the Factors of 14815680?

Answer: Factors of 14815680 are . There are integers that are factors of 14815680

3. How to Find the LCM of 110, 506, 976, 192, 122 ?

Least Common Multiple of 110, 506, 976, 192, 122.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(110, 506, 976, 192, 122) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 23 x 61 = 14815680.