Least Common Multiple of 87/570, 64/526, 690/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/570, 64/526, 690/696 quickly i.e. 320160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/570, 64/526, 690/696 is 320160.

LCM(87/570, 64/526, 690/696) = 320160

LCM of 87/570, 64/526, 690/696

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 87/570,64/526,690/696

Given numbers are 87/570,64/526,690/696

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 87,64,690

Least Common Multiple of Numerators i.e. LCM of 87,64,690 is 640320.

GCF of Denominators means GCF of 570,526,696 as per the given fractions.

GCF of 570,526,696 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,64,690

LCM of Fractions 87/570,64/526,690/696 is 320160

2 87, 64, 690
3 87, 32, 345
29, 32, 115

∴ So the LCM of the given numbers is 2 x 3 x 29 x 32 x 115 = 640320

Least Common Multiple of 87,64,690 with GCF Formula

Least Common Multiple of 87,64,690 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 87,64,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,64,690) = 1

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

GCF(87,64,690) x common factors =1 x 6 = 6

LCM(87,64,690) = ( 87 × 64 × 690 ) / 6

LCM(87,64,690) = 3841920 / 6

LCM(87,64,690) = 640320


Lets's calculate GCF of 570,526,696

2 570, 526, 696
285, 263, 348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 640320/2

Therefore the LCM of Fractions 87/570,64/526,690/696 is 320160

Greatest Common Factor of 570,526,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,526,696 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

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

Greatest Common Factor

We found the factors 570,526,696 . The biggest common factor number is the GCF number.
So the greatest common factor 570,526,696 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 87/570, 64/526, 690/696

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 87/570, 64/526, 690/696?

Answer: LCM of Numerators as per given numbers 87/570, 64/526, 690/696 is

LCM of Numerators i.e. for 87,64,690 is 640320

GCF of denominators i.e. for 570,526,696 is 2.

Thus, LCM of Fractions is 320160.Finally, LCM of Fractions for 87/570, 64/526, 690/696 is 320160.