Least Common Multiple of 274/96, 685/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 274/96, 685/546 quickly i.e. 1370/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 274/96, 685/546 is 1370/6.

LCM(274/96, 685/546) = 1370/6

LCM of 274/96, 685/546

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 274/96,685/546

Given numbers are 274/96,685/546

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 274,685

Least Common Multiple of Numerators i.e. LCM of 274,685 is 1370.

GCF of Denominators means GCF of 96,546 as per the given fractions.

GCF of 96,546 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 274,685

LCM of Fractions 274/96,685/546 is 1370/6

137 274, 685
2, 5

∴ So the LCM of the given numbers is 137 x 2 x 5 = 1370

Least Common Multiple of 274,685 with GCF Formula

Least Common Multiple of 274,685 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 274,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,685) = 137

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

GCF(274,685) x common factors =137 x 1 = 137

LCM(274,685) = ( 274 × 685 ) / 137

LCM(274,685) = 187690 / 137

LCM(274,685) = 1370


Lets's calculate GCF of 96,546

2 96, 546
3 48, 273
16, 91

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1370/6

Therefore the LCM of Fractions 274/96,685/546 is 1370/6

Greatest Common Factor of 96,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,546 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 96,546 . The biggest common factor number is the GCF number.
So the greatest common factor 96,546 is 6.


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 274/96, 685/546

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 274/96, 685/546?

Answer: LCM of Numerators as per given numbers 274/96, 685/546 is

LCM of Numerators i.e. for 274,685 is 1370

GCF of denominators i.e. for 96,546 is 6.

Thus, LCM of Fractions is 1370/6.Finally, LCM of Fractions for 274/96, 685/546 is 1370/6.