Least Common Multiple of 6174/93, 9556/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6174/93, 9556/126 quickly i.e. 9833124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6174/93, 9556/126 is 9833124.

LCM(6174/93, 9556/126) = 9833124

LCM of 6174/93, 9556/126

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 6174/93,9556/126

Given numbers are 6174/93,9556/126

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 6174,9556

Least Common Multiple of Numerators i.e. LCM of 6174,9556 is 29499372.

GCF of Denominators means GCF of 93,126 as per the given fractions.

GCF of 93,126 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6174,9556

LCM of Fractions 6174/93,9556/126 is 9833124

2 6174, 9556
3087, 4778

∴ So the LCM of the given numbers is 2 x 3087 x 4778 = 29499372

Least Common Multiple of 6174,9556 with GCF Formula

Least Common Multiple of 6174,9556 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 6174,9556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6174,9556) = 2

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

GCF(6174,9556) x common factors =2 x 1 = 2

LCM(6174,9556) = ( 6174 × 9556 ) / 2

LCM(6174,9556) = 58998744 / 2

LCM(6174,9556) = 29499372


Lets's calculate GCF of 93,126

3 93, 126
31, 42

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29499372/3

Therefore the LCM of Fractions 6174/93,9556/126 is 9833124

Greatest Common Factor of 93,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,126 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 93,126 . The biggest common factor number is the GCF number.
So the greatest common factor 93,126 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6174/93, 9556/126

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 6174/93, 9556/126?

Answer: LCM of Numerators as per given numbers 6174/93, 9556/126 is

LCM of Numerators i.e. for 6174,9556 is 29499372

GCF of denominators i.e. for 93,126 is 3.

Thus, LCM of Fractions is 9833124.Finally, LCM of Fractions for 6174/93, 9556/126 is 9833124.