Least Common Multiple of 8534/536, 7854/1394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8534/536, 7854/1394 quickly i.e. 985677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8534/536, 7854/1394 is 985677.

LCM(8534/536, 7854/1394) = 985677

LCM of 8534/536, 7854/1394

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 8534/536,7854/1394

Given numbers are 8534/536,7854/1394

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 8534,7854

Least Common Multiple of Numerators i.e. LCM of 8534,7854 is 1971354.

GCF of Denominators means GCF of 536,1394 as per the given fractions.

GCF of 536,1394 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8534,7854

LCM of Fractions 8534/536,7854/1394 is 985677

2 8534, 7854
17 4267, 3927
251, 231

∴ So the LCM of the given numbers is 2 x 17 x 251 x 231 = 1971354

Least Common Multiple of 8534,7854 with GCF Formula

Least Common Multiple of 8534,7854 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 8534,7854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8534,7854) = 34

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

GCF(8534,7854) x common factors =34 x 1 = 34

LCM(8534,7854) = ( 8534 × 7854 ) / 34

LCM(8534,7854) = 67026036 / 34

LCM(8534,7854) = 1971354


Lets's calculate GCF of 536,1394

2 536, 1394
268, 697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1971354/2

Therefore the LCM of Fractions 8534/536,7854/1394 is 985677

Greatest Common Factor of 536,1394 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,1394 By Matching Biggest Common Factor Method

Factors of 536

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

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

Factors of 1394

List of positive integer factors of 1394 that divides 1394 without a remainder.

1,2,17,34,41,82,697,1394

Greatest Common Factor

We found the factors 536,1394 . The biggest common factor number is the GCF number.
So the greatest common factor 536,1394 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 8534/536, 7854/1394

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 8534/536, 7854/1394?

Answer: LCM of Numerators as per given numbers 8534/536, 7854/1394 is

LCM of Numerators i.e. for 8534,7854 is 1971354

GCF of denominators i.e. for 536,1394 is 2.

Thus, LCM of Fractions is 985677.Finally, LCM of Fractions for 8534/536, 7854/1394 is 985677.