Least Common Multiple of 912/70, 870/5239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 912/70, 870/5239 quickly i.e. 132240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 912/70, 870/5239 is 132240.

LCM(912/70, 870/5239) = 132240

LCM of 912/70, 870/5239

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 912/70,870/5239

Given numbers are 912/70,870/5239

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 912,870

Least Common Multiple of Numerators i.e. LCM of 912,870 is 132240.

GCF of Denominators means GCF of 70,5239 as per the given fractions.

GCF of 70,5239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 912,870

LCM of Fractions 912/70,870/5239 is 132240

2 912, 870
3 456, 435
152, 145

∴ So the LCM of the given numbers is 2 x 3 x 152 x 145 = 132240

Least Common Multiple of 912,870 with GCF Formula

Least Common Multiple of 912,870 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 912,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,870) = 6

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

GCF(912,870) x common factors =6 x 1 = 6

LCM(912,870) = ( 912 × 870 ) / 6

LCM(912,870) = 793440 / 6

LCM(912,870) = 132240


Lets's calculate GCF of 70,5239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132240/1

Therefore the LCM of Fractions 912/70,870/5239 is 132240

Greatest Common Factor of 70,5239 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,5239 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 5239

List of positive integer factors of 5239 that divides 5239 without a remainder.

1,13,31,169,403,5239

Greatest Common Factor

We found the factors 70,5239 . The biggest common factor number is the GCF number.
So the greatest common factor 70,5239 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 912/70, 870/5239

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 912/70, 870/5239?

Answer: LCM of Numerators as per given numbers 912/70, 870/5239 is

LCM of Numerators i.e. for 912,870 is 132240

GCF of denominators i.e. for 70,5239 is 1.

Thus, LCM of Fractions is 132240.Finally, LCM of Fractions for 912/70, 870/5239 is 132240.