Least Common Multiple of 70/440, 82/360, 644/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/440, 82/360, 644/952 quickly i.e. 132020/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/440, 82/360, 644/952 is 132020/8.

LCM(70/440, 82/360, 644/952) = 132020/8

LCM of 70/440, 82/360, 644/952

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 70/440,82/360,644/952

Given numbers are 70/440,82/360,644/952

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 70,82,644

Least Common Multiple of Numerators i.e. LCM of 70,82,644 is 132020.

GCF of Denominators means GCF of 440,360,952 as per the given fractions.

GCF of 440,360,952 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,82,644

LCM of Fractions 70/440,82/360,644/952 is 132020/8

2 70, 82, 644
7 35, 41, 322
5, 41, 46

∴ So the LCM of the given numbers is 2 x 7 x 5 x 41 x 46 = 132020

Least Common Multiple of 70,82,644 with GCF Formula

Least Common Multiple of 70,82,644 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 70,82,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,82,644) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(70,82,644) x common factors =2 x 14 = 28

LCM(70,82,644) = ( 70 × 82 × 644 ) / 28

LCM(70,82,644) = 3696560 / 28

LCM(70,82,644) = 132020


Lets's calculate GCF of 440,360,952

2 440, 360, 952
2 220, 180, 476
2 110, 90, 238
55, 45, 119

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132020/8

Therefore the LCM of Fractions 70/440,82/360,644/952 is 132020/8

Greatest Common Factor of 440,360,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,360,952 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

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 440,360,952 . The biggest common factor number is the GCF number.
So the greatest common factor 440,360,952 is 8.


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 70/440, 82/360, 644/952

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 70/440, 82/360, 644/952?

Answer: LCM of Numerators as per given numbers 70/440, 82/360, 644/952 is

LCM of Numerators i.e. for 70,82,644 is 132020

GCF of denominators i.e. for 440,360,952 is 8.

Thus, LCM of Fractions is 132020/8.Finally, LCM of Fractions for 70/440, 82/360, 644/952 is 132020/8.