Least Common Multiple of 8608/612, 8974/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8608/612, 8974/840 quickly i.e. 38624096/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8608/612, 8974/840 is 38624096/12.

LCM(8608/612, 8974/840) = 38624096/12

LCM of 8608/612, 8974/840

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 8608/612,8974/840

Given numbers are 8608/612,8974/840

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 8608,8974

Least Common Multiple of Numerators i.e. LCM of 8608,8974 is 38624096.

GCF of Denominators means GCF of 612,840 as per the given fractions.

GCF of 612,840 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8608,8974

LCM of Fractions 8608/612,8974/840 is 38624096/12

2 8608, 8974
4304, 4487

∴ So the LCM of the given numbers is 2 x 4304 x 4487 = 38624096

Least Common Multiple of 8608,8974 with GCF Formula

Least Common Multiple of 8608,8974 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 8608,8974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8608,8974) = 2

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

GCF(8608,8974) x common factors =2 x 1 = 2

LCM(8608,8974) = ( 8608 × 8974 ) / 2

LCM(8608,8974) = 77248192 / 2

LCM(8608,8974) = 38624096


Lets's calculate GCF of 612,840

2 612, 840
2 306, 420
3 153, 210
51, 70

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38624096/12

Therefore the LCM of Fractions 8608/612,8974/840 is 38624096/12

Greatest Common Factor of 612,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,840 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 612,840 . The biggest common factor number is the GCF number.
So the greatest common factor 612,840 is 12.


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 8608/612, 8974/840

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 8608/612, 8974/840?

Answer: LCM of Numerators as per given numbers 8608/612, 8974/840 is

LCM of Numerators i.e. for 8608,8974 is 38624096

GCF of denominators i.e. for 612,840 is 12.

Thus, LCM of Fractions is 38624096/12.Finally, LCM of Fractions for 8608/612, 8974/840 is 38624096/12.