Least Common Multiple of 11/37, 49/20, 39/46, 95/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/37, 49/20, 39/46, 95/747 quickly i.e. 1996995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/37, 49/20, 39/46, 95/747 is 1996995.

LCM(11/37, 49/20, 39/46, 95/747) = 1996995

LCM of 11/37, 49/20, 39/46, 95/747

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 11/37,49/20,39/46,95/747

Given numbers are 11/37,49/20,39/46,95/747

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 11,49,39,95

Least Common Multiple of Numerators i.e. LCM of 11,49,39,95 is 1996995.

GCF of Denominators means GCF of 37,20,46,747 as per the given fractions.

GCF of 37,20,46,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,49,39,95

LCM of Fractions 11/37,49/20,39/46,95/747 is 1996995

Given numbers has no common factors except 1. So, there LCM is their product i.e 1996995

Least Common Multiple of 11,49,39,95 with GCF Formula

Least Common Multiple of 11,49,39,95 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 11,49,39,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,49,39,95) = 1

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

GCF(11,49,39,95) x common factors =1 x 1 = 1

LCM(11,49,39,95) = ( 11 × 49 × 39 × 95 ) / 1

LCM(11,49,39,95) = 1996995 / 1

LCM(11,49,39,95) = 1996995


Lets's calculate GCF of 37,20,46,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1996995/1

Therefore the LCM of Fractions 11/37,49/20,39/46,95/747 is 1996995

Greatest Common Factor of 37,20,46,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,20,46,747 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 37,20,46,747 . The biggest common factor number is the GCF number.
So the greatest common factor 37,20,46,747 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 11/37, 49/20, 39/46, 95/747

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 11/37, 49/20, 39/46, 95/747?

Answer: LCM of Numerators as per given numbers 11/37, 49/20, 39/46, 95/747 is

LCM of Numerators i.e. for 11,49,39,95 is 1996995

GCF of denominators i.e. for 37,20,46,747 is 1.

Thus, LCM of Fractions is 1996995.Finally, LCM of Fractions for 11/37, 49/20, 39/46, 95/747 is 1996995.