Least Common Multiple of 37/74, 277/70, 156/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/74, 277/70, 156/240 quickly i.e. 799422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/74, 277/70, 156/240 is 799422.

LCM(37/74, 277/70, 156/240) = 799422

LCM of 37/74, 277/70, 156/240

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 37/74,277/70,156/240

Given numbers are 37/74,277/70,156/240

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 37,277,156

Least Common Multiple of Numerators i.e. LCM of 37,277,156 is 1598844.

GCF of Denominators means GCF of 74,70,240 as per the given fractions.

GCF of 74,70,240 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,277,156

LCM of Fractions 37/74,277/70,156/240 is 799422

Given numbers has no common factors except 1. So, there LCM is their product i.e 1598844

Least Common Multiple of 37,277,156 with GCF Formula

Least Common Multiple of 37,277,156 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 37,277,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,277,156) = 1

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

GCF(37,277,156) x common factors =1 x 1 = 1

LCM(37,277,156) = ( 37 × 277 × 156 ) / 1

LCM(37,277,156) = 1598844 / 1

LCM(37,277,156) = 1598844


Lets's calculate GCF of 74,70,240

2 74, 70, 240
37, 35, 120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1598844/2

Therefore the LCM of Fractions 37/74,277/70,156/240 is 799422

Greatest Common Factor of 74,70,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,70,240 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 74,70,240 . The biggest common factor number is the GCF number.
So the greatest common factor 74,70,240 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 37/74, 277/70, 156/240

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 37/74, 277/70, 156/240?

Answer: LCM of Numerators as per given numbers 37/74, 277/70, 156/240 is

LCM of Numerators i.e. for 37,277,156 is 1598844

GCF of denominators i.e. for 74,70,240 is 2.

Thus, LCM of Fractions is 799422.Finally, LCM of Fractions for 37/74, 277/70, 156/240 is 799422.