Least Common Multiple of 37/64, 98/41, 52/34, 99/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/64, 98/41, 52/34, 99/177 quickly i.e. 9333324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/64, 98/41, 52/34, 99/177 is 9333324.

LCM(37/64, 98/41, 52/34, 99/177) = 9333324

LCM of 37/64, 98/41, 52/34, 99/177

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 37/64,98/41,52/34,99/177

Given numbers are 37/64,98/41,52/34,99/177

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 37,98,52,99

Least Common Multiple of Numerators i.e. LCM of 37,98,52,99 is 9333324.

GCF of Denominators means GCF of 64,41,34,177 as per the given fractions.

GCF of 64,41,34,177 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,98,52,99

LCM of Fractions 37/64,98/41,52/34,99/177 is 9333324

2 37, 98, 52, 99
37, 49, 26, 99

∴ So the LCM of the given numbers is 2 x 37 x 49 x 26 x 99 = 9333324

Least Common Multiple of 37,98,52,99 with GCF Formula

Least Common Multiple of 37,98,52,99 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 37,98,52,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,98,52,99) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,98,52,99) x common factors =1 x 2 = 2

LCM(37,98,52,99) = ( 37 × 98 × 52 × 99 ) / 2

LCM(37,98,52,99) = 18666648 / 2

LCM(37,98,52,99) = 9333324


Lets's calculate GCF of 64,41,34,177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9333324/1

Therefore the LCM of Fractions 37/64,98/41,52/34,99/177 is 9333324

Greatest Common Factor of 64,41,34,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,41,34,177 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 64,41,34,177 . The biggest common factor number is the GCF number.
So the greatest common factor 64,41,34,177 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 37/64, 98/41, 52/34, 99/177

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 37/64, 98/41, 52/34, 99/177?

Answer: LCM of Numerators as per given numbers 37/64, 98/41, 52/34, 99/177 is

LCM of Numerators i.e. for 37,98,52,99 is 9333324

GCF of denominators i.e. for 64,41,34,177 is 1.

Thus, LCM of Fractions is 9333324.Finally, LCM of Fractions for 37/64, 98/41, 52/34, 99/177 is 9333324.