Least Common Multiple of 98/96, 360/94, 119/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/96, 360/94, 119/560 quickly i.e. 149940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/96, 360/94, 119/560 is 149940.

LCM(98/96, 360/94, 119/560) = 149940

LCM of 98/96, 360/94, 119/560

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 98/96,360/94,119/560

Given numbers are 98/96,360/94,119/560

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 98,360,119

Least Common Multiple of Numerators i.e. LCM of 98,360,119 is 299880.

GCF of Denominators means GCF of 96,94,560 as per the given fractions.

GCF of 96,94,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,360,119

LCM of Fractions 98/96,360/94,119/560 is 149940

2 98, 360, 119
7 49, 180, 119
7, 180, 17

∴ So the LCM of the given numbers is 2 x 7 x 7 x 180 x 17 = 299880

Least Common Multiple of 98,360,119 with GCF Formula

Least Common Multiple of 98,360,119 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 98,360,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,360,119) = 1

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

GCF(98,360,119) x common factors =1 x 14 = 14

LCM(98,360,119) = ( 98 × 360 × 119 ) / 14

LCM(98,360,119) = 4198320 / 14

LCM(98,360,119) = 299880


Lets's calculate GCF of 96,94,560

2 96, 94, 560
48, 47, 280

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299880/2

Therefore the LCM of Fractions 98/96,360/94,119/560 is 149940

Greatest Common Factor of 96,94,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,94,560 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 96,94,560 . The biggest common factor number is the GCF number.
So the greatest common factor 96,94,560 is 2.


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 98/96, 360/94, 119/560

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 98/96, 360/94, 119/560?

Answer: LCM of Numerators as per given numbers 98/96, 360/94, 119/560 is

LCM of Numerators i.e. for 98,360,119 is 299880

GCF of denominators i.e. for 96,94,560 is 2.

Thus, LCM of Fractions is 149940.Finally, LCM of Fractions for 98/96, 360/94, 119/560 is 149940.