Least Common Multiple of 64/757, 35/344, 840/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/757, 35/344, 840/953 quickly i.e. 6720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/757, 35/344, 840/953 is 6720.

LCM(64/757, 35/344, 840/953) = 6720

LCM of 64/757, 35/344, 840/953

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 64/757,35/344,840/953

Given numbers are 64/757,35/344,840/953

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 64,35,840

Least Common Multiple of Numerators i.e. LCM of 64,35,840 is 6720.

GCF of Denominators means GCF of 757,344,953 as per the given fractions.

GCF of 757,344,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,35,840

LCM of Fractions 64/757,35/344,840/953 is 6720

2 64, 35, 840
2 32, 35, 420
2 16, 35, 210
5 8, 35, 105
7 8, 7, 21
8, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 8 x 1 x 3 = 6720

Least Common Multiple of 64,35,840 with GCF Formula

Least Common Multiple of 64,35,840 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 64,35,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,35,840) = 1

common factors(in case of two or more numbers have common factors) = 280

GCF(64,35,840) x common factors =1 x 280 = 280

LCM(64,35,840) = ( 64 × 35 × 840 ) / 280

LCM(64,35,840) = 1881600 / 280

LCM(64,35,840) = 6720


Lets's calculate GCF of 757,344,953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6720/1

Therefore the LCM of Fractions 64/757,35/344,840/953 is 6720

Greatest Common Factor of 757,344,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,344,953 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 757,344,953 . The biggest common factor number is the GCF number.
So the greatest common factor 757,344,953 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 64/757, 35/344, 840/953

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 64/757, 35/344, 840/953?

Answer: LCM of Numerators as per given numbers 64/757, 35/344, 840/953 is

LCM of Numerators i.e. for 64,35,840 is 6720

GCF of denominators i.e. for 757,344,953 is 1.

Thus, LCM of Fractions is 6720.Finally, LCM of Fractions for 64/757, 35/344, 840/953 is 6720.