Least Common Multiple of 37/65, 70/185, 308/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/65, 70/185, 308/287 quickly i.e. 56980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/65, 70/185, 308/287 is 56980.

LCM(37/65, 70/185, 308/287) = 56980

LCM of 37/65, 70/185, 308/287

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 37/65,70/185,308/287

Given numbers are 37/65,70/185,308/287

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 37,70,308

Least Common Multiple of Numerators i.e. LCM of 37,70,308 is 56980.

GCF of Denominators means GCF of 65,185,287 as per the given fractions.

GCF of 65,185,287 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,70,308

LCM of Fractions 37/65,70/185,308/287 is 56980

2 37, 70, 308
7 37, 35, 154
37, 5, 22

∴ So the LCM of the given numbers is 2 x 7 x 37 x 5 x 22 = 56980

Least Common Multiple of 37,70,308 with GCF Formula

Least Common Multiple of 37,70,308 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 37,70,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,70,308) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(37,70,308) x common factors =1 x 14 = 14

LCM(37,70,308) = ( 37 × 70 × 308 ) / 14

LCM(37,70,308) = 797720 / 14

LCM(37,70,308) = 56980


Lets's calculate GCF of 65,185,287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56980/1

Therefore the LCM of Fractions 37/65,70/185,308/287 is 56980

Greatest Common Factor of 65,185,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,185,287 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 65,185,287 . The biggest common factor number is the GCF number.
So the greatest common factor 65,185,287 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/65, 70/185, 308/287

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 37/65, 70/185, 308/287?

Answer: LCM of Numerators as per given numbers 37/65, 70/185, 308/287 is

LCM of Numerators i.e. for 37,70,308 is 56980

GCF of denominators i.e. for 65,185,287 is 1.

Thus, LCM of Fractions is 56980.Finally, LCM of Fractions for 37/65, 70/185, 308/287 is 56980.