Least Common Multiple of 8757/987, 1344/9576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8757/987, 1344/9576 quickly i.e. 26688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8757/987, 1344/9576 is 26688.

LCM(8757/987, 1344/9576) = 26688

LCM of 8757/987, 1344/9576

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 8757/987,1344/9576

Given numbers are 8757/987,1344/9576

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 8757,1344

Least Common Multiple of Numerators i.e. LCM of 8757,1344 is 560448.

GCF of Denominators means GCF of 987,9576 as per the given fractions.

GCF of 987,9576 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8757,1344

LCM of Fractions 8757/987,1344/9576 is 26688

3 8757, 1344
7 2919, 448
417, 64

∴ So the LCM of the given numbers is 3 x 7 x 417 x 64 = 560448

Least Common Multiple of 8757,1344 with GCF Formula

Least Common Multiple of 8757,1344 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 8757,1344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8757,1344) = 21

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

GCF(8757,1344) x common factors =21 x 1 = 21

LCM(8757,1344) = ( 8757 × 1344 ) / 21

LCM(8757,1344) = 11769408 / 21

LCM(8757,1344) = 560448


Lets's calculate GCF of 987,9576

3 987, 9576
7 329, 3192
47, 456

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 560448/21

Therefore the LCM of Fractions 8757/987,1344/9576 is 26688

Greatest Common Factor of 987,9576 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,9576 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 9576

List of positive integer factors of 9576 that divides 9576 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576

Greatest Common Factor

We found the factors 987,9576 . The biggest common factor number is the GCF number.
So the greatest common factor 987,9576 is 21.


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 8757/987, 1344/9576

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 8757/987, 1344/9576?

Answer: LCM of Numerators as per given numbers 8757/987, 1344/9576 is

LCM of Numerators i.e. for 8757,1344 is 560448

GCF of denominators i.e. for 987,9576 is 21.

Thus, LCM of Fractions is 26688.Finally, LCM of Fractions for 8757/987, 1344/9576 is 26688.