Least Common Multiple of 272/870, 6628/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 272/870, 6628/702 quickly i.e. 450704/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 272/870, 6628/702 is 450704/6.

LCM(272/870, 6628/702) = 450704/6

LCM of 272/870, 6628/702

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 272/870,6628/702

Given numbers are 272/870,6628/702

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 272,6628

Least Common Multiple of Numerators i.e. LCM of 272,6628 is 450704.

GCF of Denominators means GCF of 870,702 as per the given fractions.

GCF of 870,702 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 272,6628

LCM of Fractions 272/870,6628/702 is 450704/6

2 272, 6628
2 136, 3314
68, 1657

∴ So the LCM of the given numbers is 2 x 2 x 68 x 1657 = 450704

Least Common Multiple of 272,6628 with GCF Formula

Least Common Multiple of 272,6628 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 272,6628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,6628) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(272,6628) x common factors =4 x 1 = 4

LCM(272,6628) = ( 272 × 6628 ) / 4

LCM(272,6628) = 1802816 / 4

LCM(272,6628) = 450704


Lets's calculate GCF of 870,702

2 870, 702
3 435, 351
145, 117

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450704/6

Therefore the LCM of Fractions 272/870,6628/702 is 450704/6

Greatest Common Factor of 870,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,702 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 870,702 . The biggest common factor number is the GCF number.
So the greatest common factor 870,702 is 6.


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 272/870, 6628/702

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 272/870, 6628/702?

Answer: LCM of Numerators as per given numbers 272/870, 6628/702 is

LCM of Numerators i.e. for 272,6628 is 450704

GCF of denominators i.e. for 870,702 is 6.

Thus, LCM of Fractions is 450704/6.Finally, LCM of Fractions for 272/870, 6628/702 is 450704/6.