Least Common Multiple of 87/357, 9774/7560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/357, 9774/7560 quickly i.e. 283446/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/357, 9774/7560 is 283446/21.

LCM(87/357, 9774/7560) = 283446/21

LCM of 87/357, 9774/7560

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 87/357,9774/7560

Given numbers are 87/357,9774/7560

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 87,9774

Least Common Multiple of Numerators i.e. LCM of 87,9774 is 283446.

GCF of Denominators means GCF of 357,7560 as per the given fractions.

GCF of 357,7560 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,9774

LCM of Fractions 87/357,9774/7560 is 283446/21

3 87, 9774
29, 3258

∴ So the LCM of the given numbers is 3 x 29 x 3258 = 283446

Least Common Multiple of 87,9774 with GCF Formula

Least Common Multiple of 87,9774 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 87,9774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,9774) = 3

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

GCF(87,9774) x common factors =3 x 1 = 3

LCM(87,9774) = ( 87 × 9774 ) / 3

LCM(87,9774) = 850338 / 3

LCM(87,9774) = 283446


Lets's calculate GCF of 357,7560

3 357, 7560
7 119, 2520
17, 360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283446/21

Therefore the LCM of Fractions 87/357,9774/7560 is 283446/21

Greatest Common Factor of 357,7560 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,7560 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 7560

List of positive integer factors of 7560 that divides 7560 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,27,28,30,35,36,40,42,45,54,56,60,63,70,72,84,90,105,108,120,126,135,140,168,180,189,210,216,252,270,280,315,360,378,420,504,540,630,756,840,945,1080,1260,1512,1890,2520,3780,7560

Greatest Common Factor

We found the factors 357,7560 . The biggest common factor number is the GCF number.
So the greatest common factor 357,7560 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 87/357, 9774/7560

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 87/357, 9774/7560?

Answer: LCM of Numerators as per given numbers 87/357, 9774/7560 is

LCM of Numerators i.e. for 87,9774 is 283446

GCF of denominators i.e. for 357,7560 is 21.

Thus, LCM of Fractions is 283446/21.Finally, LCM of Fractions for 87/357, 9774/7560 is 283446/21.