Least Common Multiple of 37/52, 80/77, 59/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/52, 80/77, 59/490 quickly i.e. 174640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/52, 80/77, 59/490 is 174640.

LCM(37/52, 80/77, 59/490) = 174640

LCM of 37/52, 80/77, 59/490

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 37/52,80/77,59/490

Given numbers are 37/52,80/77,59/490

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 37,80,59

Least Common Multiple of Numerators i.e. LCM of 37,80,59 is 174640.

GCF of Denominators means GCF of 52,77,490 as per the given fractions.

GCF of 52,77,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,80,59

LCM of Fractions 37/52,80/77,59/490 is 174640

Given numbers has no common factors except 1. So, there LCM is their product i.e 174640

Least Common Multiple of 37,80,59 with GCF Formula

Least Common Multiple of 37,80,59 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 37,80,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,80,59) = 1

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

GCF(37,80,59) x common factors =1 x 1 = 1

LCM(37,80,59) = ( 37 × 80 × 59 ) / 1

LCM(37,80,59) = 174640 / 1

LCM(37,80,59) = 174640


Lets's calculate GCF of 52,77,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174640/1

Therefore the LCM of Fractions 37/52,80/77,59/490 is 174640

Greatest Common Factor of 52,77,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,77,490 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 52,77,490 . The biggest common factor number is the GCF number.
So the greatest common factor 52,77,490 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 37/52, 80/77, 59/490

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 37/52, 80/77, 59/490?

Answer: LCM of Numerators as per given numbers 37/52, 80/77, 59/490 is

LCM of Numerators i.e. for 37,80,59 is 174640

GCF of denominators i.e. for 52,77,490 is 1.

Thus, LCM of Fractions is 174640.Finally, LCM of Fractions for 37/52, 80/77, 59/490 is 174640.