Least Common Multiple of 60/194, 4984/7524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/194, 4984/7524 quickly i.e. 37380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/194, 4984/7524 is 37380.

LCM(60/194, 4984/7524) = 37380

LCM of 60/194, 4984/7524

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 60/194,4984/7524

Given numbers are 60/194,4984/7524

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 60,4984

Least Common Multiple of Numerators i.e. LCM of 60,4984 is 74760.

GCF of Denominators means GCF of 194,7524 as per the given fractions.

GCF of 194,7524 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,4984

LCM of Fractions 60/194,4984/7524 is 37380

2 60, 4984
2 30, 2492
15, 1246

∴ So the LCM of the given numbers is 2 x 2 x 15 x 1246 = 74760

Least Common Multiple of 60,4984 with GCF Formula

Least Common Multiple of 60,4984 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 60,4984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,4984) = 4

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

GCF(60,4984) x common factors =4 x 1 = 4

LCM(60,4984) = ( 60 × 4984 ) / 4

LCM(60,4984) = 299040 / 4

LCM(60,4984) = 74760


Lets's calculate GCF of 194,7524

2 194, 7524
97, 3762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74760/2

Therefore the LCM of Fractions 60/194,4984/7524 is 37380

Greatest Common Factor of 194,7524 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,7524 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 7524

List of positive integer factors of 7524 that divides 7524 without a remainder.

1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524

Greatest Common Factor

We found the factors 194,7524 . The biggest common factor number is the GCF number.
So the greatest common factor 194,7524 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 60/194, 4984/7524

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 60/194, 4984/7524?

Answer: LCM of Numerators as per given numbers 60/194, 4984/7524 is

LCM of Numerators i.e. for 60,4984 is 74760

GCF of denominators i.e. for 194,7524 is 2.

Thus, LCM of Fractions is 37380.Finally, LCM of Fractions for 60/194, 4984/7524 is 37380.