Least Common Multiple of 403/220, 228/251, 646/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 403/220, 228/251, 646/940 quickly i.e. 1562028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 403/220, 228/251, 646/940 is 1562028.

LCM(403/220, 228/251, 646/940) = 1562028

LCM of 403/220, 228/251, 646/940

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 403/220,228/251,646/940

Given numbers are 403/220,228/251,646/940

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 403,228,646

Least Common Multiple of Numerators i.e. LCM of 403,228,646 is 1562028.

GCF of Denominators means GCF of 220,251,940 as per the given fractions.

GCF of 220,251,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 403,228,646

LCM of Fractions 403/220,228/251,646/940 is 1562028

2 403, 228, 646
19 403, 114, 323
403, 6, 17

∴ So the LCM of the given numbers is 2 x 19 x 403 x 6 x 17 = 1562028

Least Common Multiple of 403,228,646 with GCF Formula

Least Common Multiple of 403,228,646 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 403,228,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,228,646) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(403,228,646) x common factors =1 x 38 = 38

LCM(403,228,646) = ( 403 × 228 × 646 ) / 38

LCM(403,228,646) = 59357064 / 38

LCM(403,228,646) = 1562028


Lets's calculate GCF of 220,251,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1562028/1

Therefore the LCM of Fractions 403/220,228/251,646/940 is 1562028

Greatest Common Factor of 220,251,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,251,940 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 220,251,940 . The biggest common factor number is the GCF number.
So the greatest common factor 220,251,940 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 403/220, 228/251, 646/940

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 403/220, 228/251, 646/940?

Answer: LCM of Numerators as per given numbers 403/220, 228/251, 646/940 is

LCM of Numerators i.e. for 403,228,646 is 1562028

GCF of denominators i.e. for 220,251,940 is 1.

Thus, LCM of Fractions is 1562028.Finally, LCM of Fractions for 403/220, 228/251, 646/940 is 1562028.