Least Common Multiple of 853/160, 538/708, 688/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 853/160, 538/708, 688/764 quickly i.e. 39466604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 853/160, 538/708, 688/764 is 39466604.

LCM(853/160, 538/708, 688/764) = 39466604

LCM of 853/160, 538/708, 688/764

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 853/160,538/708,688/764

Given numbers are 853/160,538/708,688/764

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 853,538,688

Least Common Multiple of Numerators i.e. LCM of 853,538,688 is 157866416.

GCF of Denominators means GCF of 160,708,764 as per the given fractions.

GCF of 160,708,764 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 853,538,688

LCM of Fractions 853/160,538/708,688/764 is 39466604

2 853, 538, 688
853, 269, 344

∴ So the LCM of the given numbers is 2 x 853 x 269 x 344 = 157866416

Least Common Multiple of 853,538,688 with GCF Formula

Least Common Multiple of 853,538,688 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 853,538,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(853,538,688) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(853,538,688) x common factors =1 x 2 = 2

LCM(853,538,688) = ( 853 × 538 × 688 ) / 2

LCM(853,538,688) = 315732832 / 2

LCM(853,538,688) = 157866416


Lets's calculate GCF of 160,708,764

2 160, 708, 764
2 80, 354, 382
40, 177, 191

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157866416/4

Therefore the LCM of Fractions 853/160,538/708,688/764 is 39466604

Greatest Common Factor of 160,708,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,708,764 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 160,708,764 . The biggest common factor number is the GCF number.
So the greatest common factor 160,708,764 is 4.


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 853/160, 538/708, 688/764

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 853/160, 538/708, 688/764?

Answer: LCM of Numerators as per given numbers 853/160, 538/708, 688/764 is

LCM of Numerators i.e. for 853,538,688 is 157866416

GCF of denominators i.e. for 160,708,764 is 4.

Thus, LCM of Fractions is 39466604.Finally, LCM of Fractions for 853/160, 538/708, 688/764 is 39466604.