Least Common Multiple of 64/834, 57/292, 695/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/834, 57/292, 695/748 quickly i.e. 1267680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/834, 57/292, 695/748 is 1267680.

LCM(64/834, 57/292, 695/748) = 1267680

LCM of 64/834, 57/292, 695/748

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 64/834,57/292,695/748

Given numbers are 64/834,57/292,695/748

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 64,57,695

Least Common Multiple of Numerators i.e. LCM of 64,57,695 is 2535360.

GCF of Denominators means GCF of 834,292,748 as per the given fractions.

GCF of 834,292,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,57,695

LCM of Fractions 64/834,57/292,695/748 is 1267680

Given numbers has no common factors except 1. So, there LCM is their product i.e 2535360

Least Common Multiple of 64,57,695 with GCF Formula

Least Common Multiple of 64,57,695 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 64,57,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,57,695) = 1

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

GCF(64,57,695) x common factors =1 x 1 = 1

LCM(64,57,695) = ( 64 × 57 × 695 ) / 1

LCM(64,57,695) = 2535360 / 1

LCM(64,57,695) = 2535360


Lets's calculate GCF of 834,292,748

2 834, 292, 748
417, 146, 374

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2535360/2

Therefore the LCM of Fractions 64/834,57/292,695/748 is 1267680

Greatest Common Factor of 834,292,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,292,748 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 834,292,748 . The biggest common factor number is the GCF number.
So the greatest common factor 834,292,748 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/834, 57/292, 695/748

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 64/834, 57/292, 695/748?

Answer: LCM of Numerators as per given numbers 64/834, 57/292, 695/748 is

LCM of Numerators i.e. for 64,57,695 is 2535360

GCF of denominators i.e. for 834,292,748 is 2.

Thus, LCM of Fractions is 1267680.Finally, LCM of Fractions for 64/834, 57/292, 695/748 is 1267680.