Least Common Multiple of 70/722, 212/156, 688/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/722, 212/156, 688/335 quickly i.e. 1276240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/722, 212/156, 688/335 is 1276240.

LCM(70/722, 212/156, 688/335) = 1276240

LCM of 70/722, 212/156, 688/335

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 70/722,212/156,688/335

Given numbers are 70/722,212/156,688/335

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 70,212,688

Least Common Multiple of Numerators i.e. LCM of 70,212,688 is 1276240.

GCF of Denominators means GCF of 722,156,335 as per the given fractions.

GCF of 722,156,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,212,688

LCM of Fractions 70/722,212/156,688/335 is 1276240

2 70, 212, 688
2 35, 106, 344
35, 53, 172

∴ So the LCM of the given numbers is 2 x 2 x 35 x 53 x 172 = 1276240

Least Common Multiple of 70,212,688 with GCF Formula

Least Common Multiple of 70,212,688 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 70,212,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,212,688) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(70,212,688) x common factors =2 x 4 = 8

LCM(70,212,688) = ( 70 × 212 × 688 ) / 8

LCM(70,212,688) = 10209920 / 8

LCM(70,212,688) = 1276240


Lets's calculate GCF of 722,156,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1276240/1

Therefore the LCM of Fractions 70/722,212/156,688/335 is 1276240

Greatest Common Factor of 722,156,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,156,335 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 722,156,335 . The biggest common factor number is the GCF number.
So the greatest common factor 722,156,335 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 70/722, 212/156, 688/335

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 70/722, 212/156, 688/335?

Answer: LCM of Numerators as per given numbers 70/722, 212/156, 688/335 is

LCM of Numerators i.e. for 70,212,688 is 1276240

GCF of denominators i.e. for 722,156,335 is 1.

Thus, LCM of Fractions is 1276240.Finally, LCM of Fractions for 70/722, 212/156, 688/335 is 1276240.