Least Common Multiple of 7092/210, 7542/3141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7092/210, 7542/3141 quickly i.e. 990516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7092/210, 7542/3141 is 990516.

LCM(7092/210, 7542/3141) = 990516

LCM of 7092/210, 7542/3141

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 7092/210,7542/3141

Given numbers are 7092/210,7542/3141

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 7092,7542

Least Common Multiple of Numerators i.e. LCM of 7092,7542 is 2971548.

GCF of Denominators means GCF of 210,3141 as per the given fractions.

GCF of 210,3141 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7092,7542

LCM of Fractions 7092/210,7542/3141 is 990516

2 7092, 7542
3 3546, 3771
3 1182, 1257
394, 419

∴ So the LCM of the given numbers is 2 x 3 x 3 x 394 x 419 = 2971548

Least Common Multiple of 7092,7542 with GCF Formula

Least Common Multiple of 7092,7542 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 7092,7542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7092,7542) = 18

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

GCF(7092,7542) x common factors =18 x 1 = 18

LCM(7092,7542) = ( 7092 × 7542 ) / 18

LCM(7092,7542) = 53487864 / 18

LCM(7092,7542) = 2971548


Lets's calculate GCF of 210,3141

3 210, 3141
70, 1047

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2971548/3

Therefore the LCM of Fractions 7092/210,7542/3141 is 990516

Greatest Common Factor of 210,3141 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,3141 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 3141

List of positive integer factors of 3141 that divides 3141 without a remainder.

1,3,9,349,1047,3141

Greatest Common Factor

We found the factors 210,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 210,3141 is 3.


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 7092/210, 7542/3141

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 7092/210, 7542/3141?

Answer: LCM of Numerators as per given numbers 7092/210, 7542/3141 is

LCM of Numerators i.e. for 7092,7542 is 2971548

GCF of denominators i.e. for 210,3141 is 3.

Thus, LCM of Fractions is 990516.Finally, LCM of Fractions for 7092/210, 7542/3141 is 990516.