Least Common Multiple of 31/800, 20/696, 668/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/800, 20/696, 668/364 quickly i.e. 25885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/800, 20/696, 668/364 is 25885.

LCM(31/800, 20/696, 668/364) = 25885

LCM of 31/800, 20/696, 668/364

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 31/800,20/696,668/364

Given numbers are 31/800,20/696,668/364

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 31,20,668

Least Common Multiple of Numerators i.e. LCM of 31,20,668 is 103540.

GCF of Denominators means GCF of 800,696,364 as per the given fractions.

GCF of 800,696,364 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,20,668

LCM of Fractions 31/800,20/696,668/364 is 25885

2 31, 20, 668
2 31, 10, 334
31, 5, 167

∴ So the LCM of the given numbers is 2 x 2 x 31 x 5 x 167 = 103540

Least Common Multiple of 31,20,668 with GCF Formula

Least Common Multiple of 31,20,668 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 31,20,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,20,668) = 1

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

GCF(31,20,668) x common factors =1 x 4 = 4

LCM(31,20,668) = ( 31 × 20 × 668 ) / 4

LCM(31,20,668) = 414160 / 4

LCM(31,20,668) = 103540


Lets's calculate GCF of 800,696,364

2 800, 696, 364
2 400, 348, 182
200, 174, 91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103540/4

Therefore the LCM of Fractions 31/800,20/696,668/364 is 25885

Greatest Common Factor of 800,696,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,696,364 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 800,696,364 . The biggest common factor number is the GCF number.
So the greatest common factor 800,696,364 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 31/800, 20/696, 668/364

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 31/800, 20/696, 668/364?

Answer: LCM of Numerators as per given numbers 31/800, 20/696, 668/364 is

LCM of Numerators i.e. for 31,20,668 is 103540

GCF of denominators i.e. for 800,696,364 is 4.

Thus, LCM of Fractions is 25885.Finally, LCM of Fractions for 31/800, 20/696, 668/364 is 25885.