Least Common Multiple of 981/32, 5450/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 981/32, 5450/461 quickly i.e. 49050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 981/32, 5450/461 is 49050.

LCM(981/32, 5450/461) = 49050

LCM of 981/32, 5450/461

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 981/32,5450/461

Given numbers are 981/32,5450/461

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 981,5450

Least Common Multiple of Numerators i.e. LCM of 981,5450 is 49050.

GCF of Denominators means GCF of 32,461 as per the given fractions.

GCF of 32,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 981,5450

LCM of Fractions 981/32,5450/461 is 49050

109 981, 5450
9, 50

∴ So the LCM of the given numbers is 109 x 9 x 50 = 49050

Least Common Multiple of 981,5450 with GCF Formula

Least Common Multiple of 981,5450 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 981,5450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,5450) = 109

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

GCF(981,5450) x common factors =109 x 1 = 109

LCM(981,5450) = ( 981 × 5450 ) / 109

LCM(981,5450) = 5346450 / 109

LCM(981,5450) = 49050


Lets's calculate GCF of 32,461

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49050/1

Therefore the LCM of Fractions 981/32,5450/461 is 49050

Greatest Common Factor of 32,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,461 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 32,461 . The biggest common factor number is the GCF number.
So the greatest common factor 32,461 is 1.


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 981/32, 5450/461

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 981/32, 5450/461?

Answer: LCM of Numerators as per given numbers 981/32, 5450/461 is

LCM of Numerators i.e. for 981,5450 is 49050

GCF of denominators i.e. for 32,461 is 1.

Thus, LCM of Fractions is 49050.Finally, LCM of Fractions for 981/32, 5450/461 is 49050.