Least Common Multiple of 35/26, 28/57, 67/71, 49/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/26, 28/57, 67/71, 49/896 quickly i.e. 65660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/26, 28/57, 67/71, 49/896 is 65660.

LCM(35/26, 28/57, 67/71, 49/896) = 65660

LCM of 35/26, 28/57, 67/71, 49/896

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 35/26,28/57,67/71,49/896

Given numbers are 35/26,28/57,67/71,49/896

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 35,28,67,49

Least Common Multiple of Numerators i.e. LCM of 35,28,67,49 is 65660.

GCF of Denominators means GCF of 26,57,71,896 as per the given fractions.

GCF of 26,57,71,896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,28,67,49

LCM of Fractions 35/26,28/57,67/71,49/896 is 65660

7 35, 28, 67, 49
5, 4, 67, 7

∴ So the LCM of the given numbers is 7 x 5 x 4 x 67 x 7 = 65660

Least Common Multiple of 35,28,67,49 with GCF Formula

Least Common Multiple of 35,28,67,49 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 35,28,67,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,28,67,49) = 1

common factors(in case of two or more numbers have common factors) = 49

GCF(35,28,67,49) x common factors =1 x 49 = 49

LCM(35,28,67,49) = ( 35 × 28 × 67 × 49 ) / 49

LCM(35,28,67,49) = 3217340 / 49

LCM(35,28,67,49) = 65660


Lets's calculate GCF of 26,57,71,896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65660/1

Therefore the LCM of Fractions 35/26,28/57,67/71,49/896 is 65660

Greatest Common Factor of 26,57,71,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,57,71,896 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

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

Greatest Common Factor

We found the factors 26,57,71,896 . The biggest common factor number is the GCF number.
So the greatest common factor 26,57,71,896 is 1.


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 35/26, 28/57, 67/71, 49/896

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 35/26, 28/57, 67/71, 49/896?

Answer: LCM of Numerators as per given numbers 35/26, 28/57, 67/71, 49/896 is

LCM of Numerators i.e. for 35,28,67,49 is 65660

GCF of denominators i.e. for 26,57,71,896 is 1.

Thus, LCM of Fractions is 65660.Finally, LCM of Fractions for 35/26, 28/57, 67/71, 49/896 is 65660.