Least Common Multiple of 5678/924, 9678/3036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5678/924, 9678/3036 quickly i.e. 27475842/132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5678/924, 9678/3036 is 27475842/132.

LCM(5678/924, 9678/3036) = 27475842/132

LCM of 5678/924, 9678/3036

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 5678/924,9678/3036

Given numbers are 5678/924,9678/3036

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 5678,9678

Least Common Multiple of Numerators i.e. LCM of 5678,9678 is 27475842.

GCF of Denominators means GCF of 924,3036 as per the given fractions.

GCF of 924,3036 is 132 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5678,9678

LCM of Fractions 5678/924,9678/3036 is 27475842/132

2 5678, 9678
2839, 4839

∴ So the LCM of the given numbers is 2 x 2839 x 4839 = 27475842

Least Common Multiple of 5678,9678 with GCF Formula

Least Common Multiple of 5678,9678 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 5678,9678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5678,9678) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(5678,9678) x common factors =2 x 1 = 2

LCM(5678,9678) = ( 5678 × 9678 ) / 2

LCM(5678,9678) = 54951684 / 2

LCM(5678,9678) = 27475842


Lets's calculate GCF of 924,3036

2 924, 3036
2 462, 1518
3 231, 759
11 77, 253
7, 23

∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27475842/132

Therefore the LCM of Fractions 5678/924,9678/3036 is 27475842/132

Greatest Common Factor of 924,3036 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,3036 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 3036

List of positive integer factors of 3036 that divides 3036 without a remainder.

1,2,3,4,6,11,12,22,23,33,44,46,66,69,92,132,138,253,276,506,759,1012,1518,3036

Greatest Common Factor

We found the factors 924,3036 . The biggest common factor number is the GCF number.
So the greatest common factor 924,3036 is 132.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5678/924, 9678/3036

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 5678/924, 9678/3036?

Answer: LCM of Numerators as per given numbers 5678/924, 9678/3036 is

LCM of Numerators i.e. for 5678,9678 is 27475842

GCF of denominators i.e. for 924,3036 is 132.

Thus, LCM of Fractions is 27475842/132.Finally, LCM of Fractions for 5678/924, 9678/3036 is 27475842/132.