Least Common Multiple of 31/48, 91/62, 98/99, 10/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/48, 91/62, 98/99, 10/668 quickly i.e. 197470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/48, 91/62, 98/99, 10/668 is 197470.

LCM(31/48, 91/62, 98/99, 10/668) = 197470

LCM of 31/48, 91/62, 98/99, 10/668

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 31/48,91/62,98/99,10/668

Given numbers are 31/48,91/62,98/99,10/668

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 31,91,98,10

Least Common Multiple of Numerators i.e. LCM of 31,91,98,10 is 197470.

GCF of Denominators means GCF of 48,62,99,668 as per the given fractions.

GCF of 48,62,99,668 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,91,98,10

LCM of Fractions 31/48,91/62,98/99,10/668 is 197470

2 31, 91, 98, 10
7 31, 91, 49, 5
31, 13, 7, 5

∴ So the LCM of the given numbers is 2 x 7 x 31 x 13 x 7 x 5 = 197470

Least Common Multiple of 31,91,98,10 with GCF Formula

Least Common Multiple of 31,91,98,10 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 31,91,98,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,91,98,10) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(31,91,98,10) x common factors =1 x 14 = 14

LCM(31,91,98,10) = ( 31 × 91 × 98 × 10 ) / 14

LCM(31,91,98,10) = 2764580 / 14

LCM(31,91,98,10) = 197470


Lets's calculate GCF of 48,62,99,668

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197470/1

Therefore the LCM of Fractions 31/48,91/62,98/99,10/668 is 197470

Greatest Common Factor of 48,62,99,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,62,99,668 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 48,62,99,668 . The biggest common factor number is the GCF number.
So the greatest common factor 48,62,99,668 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 31/48, 91/62, 98/99, 10/668

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 31/48, 91/62, 98/99, 10/668?

Answer: LCM of Numerators as per given numbers 31/48, 91/62, 98/99, 10/668 is

LCM of Numerators i.e. for 31,91,98,10 is 197470

GCF of denominators i.e. for 48,62,99,668 is 1.

Thus, LCM of Fractions is 197470.Finally, LCM of Fractions for 31/48, 91/62, 98/99, 10/668 is 197470.