Least Common Multiple of 9516/870, 6123/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9516/870, 6123/711 quickly i.e. 498004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9516/870, 6123/711 is 498004.

LCM(9516/870, 6123/711) = 498004

LCM of 9516/870, 6123/711

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 9516/870,6123/711

Given numbers are 9516/870,6123/711

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 9516,6123

Least Common Multiple of Numerators i.e. LCM of 9516,6123 is 1494012.

GCF of Denominators means GCF of 870,711 as per the given fractions.

GCF of 870,711 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9516,6123

LCM of Fractions 9516/870,6123/711 is 498004

3 9516, 6123
13 3172, 2041
244, 157

∴ So the LCM of the given numbers is 3 x 13 x 244 x 157 = 1494012

Least Common Multiple of 9516,6123 with GCF Formula

Least Common Multiple of 9516,6123 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 9516,6123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9516,6123) = 39

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

GCF(9516,6123) x common factors =39 x 1 = 39

LCM(9516,6123) = ( 9516 × 6123 ) / 39

LCM(9516,6123) = 58266468 / 39

LCM(9516,6123) = 1494012


Lets's calculate GCF of 870,711

3 870, 711
290, 237

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1494012/3

Therefore the LCM of Fractions 9516/870,6123/711 is 498004

Greatest Common Factor of 870,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,711 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 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 870,711 . The biggest common factor number is the GCF number.
So the greatest common factor 870,711 is 3.


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 9516/870, 6123/711

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 9516/870, 6123/711?

Answer: LCM of Numerators as per given numbers 9516/870, 6123/711 is

LCM of Numerators i.e. for 9516,6123 is 1494012

GCF of denominators i.e. for 870,711 is 3.

Thus, LCM of Fractions is 498004.Finally, LCM of Fractions for 9516/870, 6123/711 is 498004.