Least Common Multiple of 87/832, 95/808, 657/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/832, 95/808, 657/390 quickly i.e. 1810035/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/832, 95/808, 657/390 is 1810035/2.

LCM(87/832, 95/808, 657/390) = 1810035/2

LCM of 87/832, 95/808, 657/390

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 87/832,95/808,657/390

Given numbers are 87/832,95/808,657/390

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 87,95,657

Least Common Multiple of Numerators i.e. LCM of 87,95,657 is 1810035.

GCF of Denominators means GCF of 832,808,390 as per the given fractions.

GCF of 832,808,390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,95,657

LCM of Fractions 87/832,95/808,657/390 is 1810035/2

3 87, 95, 657
29, 95, 219

∴ So the LCM of the given numbers is 3 x 29 x 95 x 219 = 1810035

Least Common Multiple of 87,95,657 with GCF Formula

Least Common Multiple of 87,95,657 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 87,95,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,95,657) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,95,657) x common factors =1 x 3 = 3

LCM(87,95,657) = ( 87 × 95 × 657 ) / 3

LCM(87,95,657) = 5430105 / 3

LCM(87,95,657) = 1810035


Lets's calculate GCF of 832,808,390

2 832, 808, 390
416, 404, 195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1810035/2

Therefore the LCM of Fractions 87/832,95/808,657/390 is 1810035/2

Greatest Common Factor of 832,808,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,808,390 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 832,808,390 . The biggest common factor number is the GCF number.
So the greatest common factor 832,808,390 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 87/832, 95/808, 657/390

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 87/832, 95/808, 657/390?

Answer: LCM of Numerators as per given numbers 87/832, 95/808, 657/390 is

LCM of Numerators i.e. for 87,95,657 is 1810035

GCF of denominators i.e. for 832,808,390 is 2.

Thus, LCM of Fractions is 1810035/2.Finally, LCM of Fractions for 87/832, 95/808, 657/390 is 1810035/2.