Least Common Multiple of 37/158, 11/648, 758/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/158, 11/648, 758/735 quickly i.e. 308506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/158, 11/648, 758/735 is 308506.

LCM(37/158, 11/648, 758/735) = 308506

LCM of 37/158, 11/648, 758/735

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 37/158,11/648,758/735

Given numbers are 37/158,11/648,758/735

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 37,11,758

Least Common Multiple of Numerators i.e. LCM of 37,11,758 is 308506.

GCF of Denominators means GCF of 158,648,735 as per the given fractions.

GCF of 158,648,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,11,758

LCM of Fractions 37/158,11/648,758/735 is 308506

Given numbers has no common factors except 1. So, there LCM is their product i.e 308506

Least Common Multiple of 37,11,758 with GCF Formula

Least Common Multiple of 37,11,758 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 37,11,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,11,758) = 1

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

GCF(37,11,758) x common factors =1 x 1 = 1

LCM(37,11,758) = ( 37 × 11 × 758 ) / 1

LCM(37,11,758) = 308506 / 1

LCM(37,11,758) = 308506


Lets's calculate GCF of 158,648,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308506/1

Therefore the LCM of Fractions 37/158,11/648,758/735 is 308506

Greatest Common Factor of 158,648,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,648,735 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 158,648,735 . The biggest common factor number is the GCF number.
So the greatest common factor 158,648,735 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 37/158, 11/648, 758/735

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 37/158, 11/648, 758/735?

Answer: LCM of Numerators as per given numbers 37/158, 11/648, 758/735 is

LCM of Numerators i.e. for 37,11,758 is 308506

GCF of denominators i.e. for 158,648,735 is 1.

Thus, LCM of Fractions is 308506.Finally, LCM of Fractions for 37/158, 11/648, 758/735 is 308506.