Least Common Multiple of 684/896, 9710/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/896, 9710/273 quickly i.e. 3320820/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/896, 9710/273 is 3320820/7.

LCM(684/896, 9710/273) = 3320820/7

LCM of 684/896, 9710/273

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 684/896,9710/273

Given numbers are 684/896,9710/273

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 684,9710

Least Common Multiple of Numerators i.e. LCM of 684,9710 is 3320820.

GCF of Denominators means GCF of 896,273 as per the given fractions.

GCF of 896,273 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,9710

LCM of Fractions 684/896,9710/273 is 3320820/7

2 684, 9710
342, 4855

∴ So the LCM of the given numbers is 2 x 342 x 4855 = 3320820

Least Common Multiple of 684,9710 with GCF Formula

Least Common Multiple of 684,9710 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 684,9710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,9710) = 2

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

GCF(684,9710) x common factors =2 x 1 = 2

LCM(684,9710) = ( 684 × 9710 ) / 2

LCM(684,9710) = 6641640 / 2

LCM(684,9710) = 3320820


Lets's calculate GCF of 896,273

7 896, 273
128, 39

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3320820/7

Therefore the LCM of Fractions 684/896,9710/273 is 3320820/7

Greatest Common Factor of 896,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,273 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 896,273 . The biggest common factor number is the GCF number.
So the greatest common factor 896,273 is 7.


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 684/896, 9710/273

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 684/896, 9710/273?

Answer: LCM of Numerators as per given numbers 684/896, 9710/273 is

LCM of Numerators i.e. for 684,9710 is 3320820

GCF of denominators i.e. for 896,273 is 7.

Thus, LCM of Fractions is 3320820/7.Finally, LCM of Fractions for 684/896, 9710/273 is 3320820/7.