Least Common Multiple of 98/91, 968/49, 224/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/91, 968/49, 224/460 quickly i.e. 189728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/91, 968/49, 224/460 is 189728.

LCM(98/91, 968/49, 224/460) = 189728

LCM of 98/91, 968/49, 224/460

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 98/91,968/49,224/460

Given numbers are 98/91,968/49,224/460

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 98,968,224

Least Common Multiple of Numerators i.e. LCM of 98,968,224 is 189728.

GCF of Denominators means GCF of 91,49,460 as per the given fractions.

GCF of 91,49,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,968,224

LCM of Fractions 98/91,968/49,224/460 is 189728

2 98, 968, 224
2 49, 484, 112
2 49, 242, 56
7 49, 121, 28
7, 121, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 7 x 121 x 4 = 189728

Least Common Multiple of 98,968,224 with GCF Formula

Least Common Multiple of 98,968,224 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 98,968,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,968,224) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(98,968,224) x common factors =2 x 56 = 112

LCM(98,968,224) = ( 98 × 968 × 224 ) / 112

LCM(98,968,224) = 21249536 / 112

LCM(98,968,224) = 189728


Lets's calculate GCF of 91,49,460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189728/1

Therefore the LCM of Fractions 98/91,968/49,224/460 is 189728

Greatest Common Factor of 91,49,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,49,460 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 49

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

1,7,49

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 91,49,460 . The biggest common factor number is the GCF number.
So the greatest common factor 91,49,460 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 98/91, 968/49, 224/460

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 98/91, 968/49, 224/460?

Answer: LCM of Numerators as per given numbers 98/91, 968/49, 224/460 is

LCM of Numerators i.e. for 98,968,224 is 189728

GCF of denominators i.e. for 91,49,460 is 1.

Thus, LCM of Fractions is 189728.Finally, LCM of Fractions for 98/91, 968/49, 224/460 is 189728.