Least Common Multiple of 56/60, 429/92, 516/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/60, 429/92, 516/447 quickly i.e. 1033032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/60, 429/92, 516/447 is 1033032.

LCM(56/60, 429/92, 516/447) = 1033032

LCM of 56/60, 429/92, 516/447

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 56/60,429/92,516/447

Given numbers are 56/60,429/92,516/447

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 56,429,516

Least Common Multiple of Numerators i.e. LCM of 56,429,516 is 1033032.

GCF of Denominators means GCF of 60,92,447 as per the given fractions.

GCF of 60,92,447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,429,516

LCM of Fractions 56/60,429/92,516/447 is 1033032

2 56, 429, 516
2 28, 429, 258
3 14, 429, 129
14, 143, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 14 x 143 x 43 = 1033032

Least Common Multiple of 56,429,516 with GCF Formula

Least Common Multiple of 56,429,516 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 56,429,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,429,516) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(56,429,516) x common factors =1 x 12 = 12

LCM(56,429,516) = ( 56 × 429 × 516 ) / 12

LCM(56,429,516) = 12396384 / 12

LCM(56,429,516) = 1033032


Lets's calculate GCF of 60,92,447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1033032/1

Therefore the LCM of Fractions 56/60,429/92,516/447 is 1033032

Greatest Common Factor of 60,92,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,92,447 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 92

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

1,2,4,23,46,92

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 60,92,447 . The biggest common factor number is the GCF number.
So the greatest common factor 60,92,447 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/60, 429/92, 516/447

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 56/60, 429/92, 516/447?

Answer: LCM of Numerators as per given numbers 56/60, 429/92, 516/447 is

LCM of Numerators i.e. for 56,429,516 is 1033032

GCF of denominators i.e. for 60,92,447 is 1.

Thus, LCM of Fractions is 1033032.Finally, LCM of Fractions for 56/60, 429/92, 516/447 is 1033032.