Least Common Multiple of 870/31, 585/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/31, 585/952 quickly i.e. 33930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/31, 585/952 is 33930.

LCM(870/31, 585/952) = 33930

LCM of 870/31, 585/952

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 870/31,585/952

Given numbers are 870/31,585/952

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 870,585

Least Common Multiple of Numerators i.e. LCM of 870,585 is 33930.

GCF of Denominators means GCF of 31,952 as per the given fractions.

GCF of 31,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,585

LCM of Fractions 870/31,585/952 is 33930

3 870, 585
5 290, 195
58, 39

∴ So the LCM of the given numbers is 3 x 5 x 58 x 39 = 33930

Least Common Multiple of 870,585 with GCF Formula

Least Common Multiple of 870,585 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 870,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,585) = 15

common factors(in case of two or more numbers have common factors) = 1

GCF(870,585) x common factors =15 x 1 = 15

LCM(870,585) = ( 870 × 585 ) / 15

LCM(870,585) = 508950 / 15

LCM(870,585) = 33930


Lets's calculate GCF of 31,952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33930/1

Therefore the LCM of Fractions 870/31,585/952 is 33930

Greatest Common Factor of 31,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,952 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 31,952 . The biggest common factor number is the GCF number.
So the greatest common factor 31,952 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 870/31, 585/952

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 870/31, 585/952?

Answer: LCM of Numerators as per given numbers 870/31, 585/952 is

LCM of Numerators i.e. for 870,585 is 33930

GCF of denominators i.e. for 31,952 is 1.

Thus, LCM of Fractions is 33930.Finally, LCM of Fractions for 870/31, 585/952 is 33930.