Least Common Multiple of 24/92, 10/94, 64/86, 36/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/92, 10/94, 64/86, 36/559 quickly i.e. 2880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/92, 10/94, 64/86, 36/559 is 2880.

LCM(24/92, 10/94, 64/86, 36/559) = 2880

LCM of 24/92, 10/94, 64/86, 36/559

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 24/92,10/94,64/86,36/559

Given numbers are 24/92,10/94,64/86,36/559

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 24,10,64,36

Least Common Multiple of Numerators i.e. LCM of 24,10,64,36 is 2880.

GCF of Denominators means GCF of 92,94,86,559 as per the given fractions.

GCF of 92,94,86,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,10,64,36

LCM of Fractions 24/92,10/94,64/86,36/559 is 2880

2 24, 10, 64, 36
2 12, 5, 32, 18
2 6, 5, 16, 9
3 3, 5, 8, 9
1, 5, 8, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 5 x 8 x 3 = 2880

Least Common Multiple of 24,10,64,36 with GCF Formula

Least Common Multiple of 24,10,64,36 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 24,10,64,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,10,64,36) = 2

common factors(in case of two or more numbers have common factors) = 96

GCF(24,10,64,36) x common factors =2 x 96 = 192

LCM(24,10,64,36) = ( 24 × 10 × 64 × 36 ) / 192

LCM(24,10,64,36) = 552960 / 192

LCM(24,10,64,36) = 2880


Lets's calculate GCF of 92,94,86,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2880/1

Therefore the LCM of Fractions 24/92,10/94,64/86,36/559 is 2880

Greatest Common Factor of 92,94,86,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,94,86,559 By Matching Biggest Common Factor Method

Factors of 92

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

1,2,4,23,46,92

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 92,94,86,559 . The biggest common factor number is the GCF number.
So the greatest common factor 92,94,86,559 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/92, 10/94, 64/86, 36/559

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 24/92, 10/94, 64/86, 36/559?

Answer: LCM of Numerators as per given numbers 24/92, 10/94, 64/86, 36/559 is

LCM of Numerators i.e. for 24,10,64,36 is 2880

GCF of denominators i.e. for 92,94,86,559 is 1.

Thus, LCM of Fractions is 2880.Finally, LCM of Fractions for 24/92, 10/94, 64/86, 36/559 is 2880.