Least Common Multiple of 542/49, 981/1561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/49, 981/1561 quickly i.e. 531702/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/49, 981/1561 is 531702/7.

LCM(542/49, 981/1561) = 531702/7

LCM of 542/49, 981/1561

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 542/49,981/1561

Given numbers are 542/49,981/1561

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 542,981

Least Common Multiple of Numerators i.e. LCM of 542,981 is 531702.

GCF of Denominators means GCF of 49,1561 as per the given fractions.

GCF of 49,1561 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,981

LCM of Fractions 542/49,981/1561 is 531702/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 531702

Least Common Multiple of 542,981 with GCF Formula

Least Common Multiple of 542,981 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 542,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,981) = 1

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

GCF(542,981) x common factors =1 x 1 = 1

LCM(542,981) = ( 542 × 981 ) / 1

LCM(542,981) = 531702 / 1

LCM(542,981) = 531702


Lets's calculate GCF of 49,1561

7 49, 1561
7, 223

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 531702/7

Therefore the LCM of Fractions 542/49,981/1561 is 531702/7

Greatest Common Factor of 49,1561 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,1561 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 1561

List of positive integer factors of 1561 that divides 1561 without a remainder.

1,7,223,1561

Greatest Common Factor

We found the factors 49,1561 . The biggest common factor number is the GCF number.
So the greatest common factor 49,1561 is 7.


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 542/49, 981/1561

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 542/49, 981/1561?

Answer: LCM of Numerators as per given numbers 542/49, 981/1561 is

LCM of Numerators i.e. for 542,981 is 531702

GCF of denominators i.e. for 49,1561 is 7.

Thus, LCM of Fractions is 531702/7.Finally, LCM of Fractions for 542/49, 981/1561 is 531702/7.