Least Common Multiple of 64/646, 39/698, 270/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/646, 39/698, 270/754 quickly i.e. 56160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/646, 39/698, 270/754 is 56160.

LCM(64/646, 39/698, 270/754) = 56160

LCM of 64/646, 39/698, 270/754

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 64/646,39/698,270/754

Given numbers are 64/646,39/698,270/754

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 64,39,270

Least Common Multiple of Numerators i.e. LCM of 64,39,270 is 112320.

GCF of Denominators means GCF of 646,698,754 as per the given fractions.

GCF of 646,698,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,39,270

LCM of Fractions 64/646,39/698,270/754 is 56160

2 64, 39, 270
3 32, 39, 135
32, 13, 45

∴ So the LCM of the given numbers is 2 x 3 x 32 x 13 x 45 = 112320

Least Common Multiple of 64,39,270 with GCF Formula

Least Common Multiple of 64,39,270 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 64,39,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,39,270) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(64,39,270) x common factors =1 x 6 = 6

LCM(64,39,270) = ( 64 × 39 × 270 ) / 6

LCM(64,39,270) = 673920 / 6

LCM(64,39,270) = 112320


Lets's calculate GCF of 646,698,754

2 646, 698, 754
323, 349, 377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112320/2

Therefore the LCM of Fractions 64/646,39/698,270/754 is 56160

Greatest Common Factor of 646,698,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,698,754 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 646,698,754 . The biggest common factor number is the GCF number.
So the greatest common factor 646,698,754 is 2.


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 64/646, 39/698, 270/754

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 64/646, 39/698, 270/754?

Answer: LCM of Numerators as per given numbers 64/646, 39/698, 270/754 is

LCM of Numerators i.e. for 64,39,270 is 112320

GCF of denominators i.e. for 646,698,754 is 2.

Thus, LCM of Fractions is 56160.Finally, LCM of Fractions for 64/646, 39/698, 270/754 is 56160.