Least Common Multiple of 870/96, 291/64, 435/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/96, 291/64, 435/313 quickly i.e. 84390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/96, 291/64, 435/313 is 84390.

LCM(870/96, 291/64, 435/313) = 84390

LCM of 870/96, 291/64, 435/313

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 870/96,291/64,435/313

Given numbers are 870/96,291/64,435/313

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 870,291,435

Least Common Multiple of Numerators i.e. LCM of 870,291,435 is 84390.

GCF of Denominators means GCF of 96,64,313 as per the given fractions.

GCF of 96,64,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,291,435

LCM of Fractions 870/96,291/64,435/313 is 84390

3 870, 291, 435
5 290, 97, 145
29 58, 97, 29
2, 97, 1

∴ So the LCM of the given numbers is 3 x 5 x 29 x 2 x 97 x 1 = 84390

Least Common Multiple of 870,291,435 with GCF Formula

Least Common Multiple of 870,291,435 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 870,291,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,291,435) = 3

common factors(in case of two or more numbers have common factors) = 435

GCF(870,291,435) x common factors =3 x 435 = 1305

LCM(870,291,435) = ( 870 × 291 × 435 ) / 1305

LCM(870,291,435) = 110128950 / 1305

LCM(870,291,435) = 84390


Lets's calculate GCF of 96,64,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84390/1

Therefore the LCM of Fractions 870/96,291/64,435/313 is 84390

Greatest Common Factor of 96,64,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,64,313 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 96,64,313 . The biggest common factor number is the GCF number.
So the greatest common factor 96,64,313 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 870/96, 291/64, 435/313

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 870/96, 291/64, 435/313?

Answer: LCM of Numerators as per given numbers 870/96, 291/64, 435/313 is

LCM of Numerators i.e. for 870,291,435 is 84390

GCF of denominators i.e. for 96,64,313 is 1.

Thus, LCM of Fractions is 84390.Finally, LCM of Fractions for 870/96, 291/64, 435/313 is 84390.