Least Common Multiple of 32/410, 630/802, 279/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/410, 630/802, 279/972 quickly i.e. 156240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/410, 630/802, 279/972 is 156240.

LCM(32/410, 630/802, 279/972) = 156240

LCM of 32/410, 630/802, 279/972

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 32/410,630/802,279/972

Given numbers are 32/410,630/802,279/972

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 32,630,279

Least Common Multiple of Numerators i.e. LCM of 32,630,279 is 312480.

GCF of Denominators means GCF of 410,802,972 as per the given fractions.

GCF of 410,802,972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,630,279

LCM of Fractions 32/410,630/802,279/972 is 156240

2 32, 630, 279
3 16, 315, 279
3 16, 105, 93
16, 35, 31

∴ So the LCM of the given numbers is 2 x 3 x 3 x 16 x 35 x 31 = 312480

Least Common Multiple of 32,630,279 with GCF Formula

Least Common Multiple of 32,630,279 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 32,630,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,630,279) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(32,630,279) x common factors =1 x 18 = 18

LCM(32,630,279) = ( 32 × 630 × 279 ) / 18

LCM(32,630,279) = 5624640 / 18

LCM(32,630,279) = 312480


Lets's calculate GCF of 410,802,972

2 410, 802, 972
205, 401, 486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312480/2

Therefore the LCM of Fractions 32/410,630/802,279/972 is 156240

Greatest Common Factor of 410,802,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,802,972 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 410,802,972 . The biggest common factor number is the GCF number.
So the greatest common factor 410,802,972 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 32/410, 630/802, 279/972

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 32/410, 630/802, 279/972?

Answer: LCM of Numerators as per given numbers 32/410, 630/802, 279/972 is

LCM of Numerators i.e. for 32,630,279 is 312480

GCF of denominators i.e. for 410,802,972 is 2.

Thus, LCM of Fractions is 156240.Finally, LCM of Fractions for 32/410, 630/802, 279/972 is 156240.