Least Common Multiple of 1224/70, 8968/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1224/70, 8968/536 quickly i.e. 686052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1224/70, 8968/536 is 686052.

LCM(1224/70, 8968/536) = 686052

LCM of 1224/70, 8968/536

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 1224/70,8968/536

Given numbers are 1224/70,8968/536

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 1224,8968

Least Common Multiple of Numerators i.e. LCM of 1224,8968 is 1372104.

GCF of Denominators means GCF of 70,536 as per the given fractions.

GCF of 70,536 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1224,8968

LCM of Fractions 1224/70,8968/536 is 686052

2 1224, 8968
2 612, 4484
2 306, 2242
153, 1121

∴ So the LCM of the given numbers is 2 x 2 x 2 x 153 x 1121 = 1372104

Least Common Multiple of 1224,8968 with GCF Formula

Least Common Multiple of 1224,8968 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 1224,8968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1224,8968) = 8

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

GCF(1224,8968) x common factors =8 x 1 = 8

LCM(1224,8968) = ( 1224 × 8968 ) / 8

LCM(1224,8968) = 10976832 / 8

LCM(1224,8968) = 1372104


Lets's calculate GCF of 70,536

2 70, 536
35, 268

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1372104/2

Therefore the LCM of Fractions 1224/70,8968/536 is 686052

Greatest Common Factor of 70,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,536 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 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 70,536 . The biggest common factor number is the GCF number.
So the greatest common factor 70,536 is 2.


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 1224/70, 8968/536

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 1224/70, 8968/536?

Answer: LCM of Numerators as per given numbers 1224/70, 8968/536 is

LCM of Numerators i.e. for 1224,8968 is 1372104

GCF of denominators i.e. for 70,536 is 2.

Thus, LCM of Fractions is 686052.Finally, LCM of Fractions for 1224/70, 8968/536 is 686052.