Least Common Multiple of 516/99, 856/42, 503/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 516/99, 856/42, 503/92 quickly i.e. 55543272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/99, 856/42, 503/92 is 55543272.

LCM(516/99, 856/42, 503/92) = 55543272

LCM of 516/99, 856/42, 503/92

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 516/99,856/42,503/92

Given numbers are 516/99,856/42,503/92

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 516,856,503

Least Common Multiple of Numerators i.e. LCM of 516,856,503 is 55543272.

GCF of Denominators means GCF of 99,42,92 as per the given fractions.

GCF of 99,42,92 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,856,503

LCM of Fractions 516/99,856/42,503/92 is 55543272

2 516, 856, 503
2 258, 428, 503
129, 214, 503

∴ So the LCM of the given numbers is 2 x 2 x 129 x 214 x 503 = 55543272

Least Common Multiple of 516,856,503 with GCF Formula

Least Common Multiple of 516,856,503 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 516,856,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,856,503) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(516,856,503) x common factors =1 x 4 = 4

LCM(516,856,503) = ( 516 × 856 × 503 ) / 4

LCM(516,856,503) = 222173088 / 4

LCM(516,856,503) = 55543272


Lets's calculate GCF of 99,42,92

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55543272/1

Therefore the LCM of Fractions 516/99,856/42,503/92 is 55543272

Greatest Common Factor of 99,42,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,42,92 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 99,42,92 . The biggest common factor number is the GCF number.
So the greatest common factor 99,42,92 is 1.


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Frequently Asked Questions on Fractional LCM of 516/99, 856/42, 503/92

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 516/99, 856/42, 503/92?

Answer: LCM of Numerators as per given numbers 516/99, 856/42, 503/92 is

LCM of Numerators i.e. for 516,856,503 is 55543272

GCF of denominators i.e. for 99,42,92 is 1.

Thus, LCM of Fractions is 55543272.Finally, LCM of Fractions for 516/99, 856/42, 503/92 is 55543272.