Least Common Multiple of 272/421, 348/628, 627/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 272/421, 348/628, 627/936 quickly i.e. 4945776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 272/421, 348/628, 627/936 is 4945776.

LCM(272/421, 348/628, 627/936) = 4945776

LCM of 272/421, 348/628, 627/936

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 272/421,348/628,627/936

Given numbers are 272/421,348/628,627/936

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 272,348,627

Least Common Multiple of Numerators i.e. LCM of 272,348,627 is 4945776.

GCF of Denominators means GCF of 421,628,936 as per the given fractions.

GCF of 421,628,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 272,348,627

LCM of Fractions 272/421,348/628,627/936 is 4945776

2 272, 348, 627
2 136, 174, 627
3 68, 87, 627
68, 29, 209

∴ So the LCM of the given numbers is 2 x 2 x 3 x 68 x 29 x 209 = 4945776

Least Common Multiple of 272,348,627 with GCF Formula

Least Common Multiple of 272,348,627 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 272,348,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,348,627) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(272,348,627) x common factors =1 x 12 = 12

LCM(272,348,627) = ( 272 × 348 × 627 ) / 12

LCM(272,348,627) = 59349312 / 12

LCM(272,348,627) = 4945776


Lets's calculate GCF of 421,628,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4945776/1

Therefore the LCM of Fractions 272/421,348/628,627/936 is 4945776

Greatest Common Factor of 421,628,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,628,936 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 421,628,936 . The biggest common factor number is the GCF number.
So the greatest common factor 421,628,936 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 272/421, 348/628, 627/936

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 272/421, 348/628, 627/936?

Answer: LCM of Numerators as per given numbers 272/421, 348/628, 627/936 is

LCM of Numerators i.e. for 272,348,627 is 4945776

GCF of denominators i.e. for 421,628,936 is 1.

Thus, LCM of Fractions is 4945776.Finally, LCM of Fractions for 272/421, 348/628, 627/936 is 4945776.