Least Common Multiple of 48/905, 49/627, 520/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/905, 49/627, 520/621 quickly i.e. 152880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/905, 49/627, 520/621 is 152880.

LCM(48/905, 49/627, 520/621) = 152880

LCM of 48/905, 49/627, 520/621

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 48/905,49/627,520/621

Given numbers are 48/905,49/627,520/621

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 48,49,520

Least Common Multiple of Numerators i.e. LCM of 48,49,520 is 152880.

GCF of Denominators means GCF of 905,627,621 as per the given fractions.

GCF of 905,627,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,49,520

LCM of Fractions 48/905,49/627,520/621 is 152880

2 48, 49, 520
2 24, 49, 260
2 12, 49, 130
6, 49, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 49 x 65 = 152880

Least Common Multiple of 48,49,520 with GCF Formula

Least Common Multiple of 48,49,520 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 48,49,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,49,520) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(48,49,520) x common factors =1 x 8 = 8

LCM(48,49,520) = ( 48 × 49 × 520 ) / 8

LCM(48,49,520) = 1223040 / 8

LCM(48,49,520) = 152880


Lets's calculate GCF of 905,627,621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152880/1

Therefore the LCM of Fractions 48/905,49/627,520/621 is 152880

Greatest Common Factor of 905,627,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 905,627,621 By Matching Biggest Common Factor Method

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 905,627,621 . The biggest common factor number is the GCF number.
So the greatest common factor 905,627,621 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 48/905, 49/627, 520/621

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 48/905, 49/627, 520/621?

Answer: LCM of Numerators as per given numbers 48/905, 49/627, 520/621 is

LCM of Numerators i.e. for 48,49,520 is 152880

GCF of denominators i.e. for 905,627,621 is 1.

Thus, LCM of Fractions is 152880.Finally, LCM of Fractions for 48/905, 49/627, 520/621 is 152880.