Least Common Multiple of 3645/942, 6240/8712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3645/942, 6240/8712 quickly i.e. 252720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3645/942, 6240/8712 is 252720.

LCM(3645/942, 6240/8712) = 252720

LCM of 3645/942, 6240/8712

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 3645/942,6240/8712

Given numbers are 3645/942,6240/8712

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 3645,6240

Least Common Multiple of Numerators i.e. LCM of 3645,6240 is 1516320.

GCF of Denominators means GCF of 942,8712 as per the given fractions.

GCF of 942,8712 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3645,6240

LCM of Fractions 3645/942,6240/8712 is 252720

3 3645, 6240
5 1215, 2080
243, 416

∴ So the LCM of the given numbers is 3 x 5 x 243 x 416 = 1516320

Least Common Multiple of 3645,6240 with GCF Formula

Least Common Multiple of 3645,6240 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 3645,6240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3645,6240) = 15

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

GCF(3645,6240) x common factors =15 x 1 = 15

LCM(3645,6240) = ( 3645 × 6240 ) / 15

LCM(3645,6240) = 22744800 / 15

LCM(3645,6240) = 1516320


Lets's calculate GCF of 942,8712

2 942, 8712
3 471, 4356
157, 1452

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1516320/6

Therefore the LCM of Fractions 3645/942,6240/8712 is 252720

Greatest Common Factor of 942,8712 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,8712 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 8712

List of positive integer factors of 8712 that divides 8712 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712

Greatest Common Factor

We found the factors 942,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 942,8712 is 6.


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 3645/942, 6240/8712

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 3645/942, 6240/8712?

Answer: LCM of Numerators as per given numbers 3645/942, 6240/8712 is

LCM of Numerators i.e. for 3645,6240 is 1516320

GCF of denominators i.e. for 942,8712 is 6.

Thus, LCM of Fractions is 252720.Finally, LCM of Fractions for 3645/942, 6240/8712 is 252720.