Least Common Multiple of 37/307, 382/232, 142/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/307, 382/232, 142/639 quickly i.e. 1003514 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/307, 382/232, 142/639 is 1003514.

LCM(37/307, 382/232, 142/639) = 1003514

LCM of 37/307, 382/232, 142/639

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 37/307,382/232,142/639

Given numbers are 37/307,382/232,142/639

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 37,382,142

Least Common Multiple of Numerators i.e. LCM of 37,382,142 is 1003514.

GCF of Denominators means GCF of 307,232,639 as per the given fractions.

GCF of 307,232,639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,382,142

LCM of Fractions 37/307,382/232,142/639 is 1003514

2 37, 382, 142
37, 191, 71

∴ So the LCM of the given numbers is 2 x 37 x 191 x 71 = 1003514

Least Common Multiple of 37,382,142 with GCF Formula

Least Common Multiple of 37,382,142 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 37,382,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,382,142) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,382,142) x common factors =1 x 2 = 2

LCM(37,382,142) = ( 37 × 382 × 142 ) / 2

LCM(37,382,142) = 2007028 / 2

LCM(37,382,142) = 1003514


Lets's calculate GCF of 307,232,639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1003514/1

Therefore the LCM of Fractions 37/307,382/232,142/639 is 1003514

Greatest Common Factor of 307,232,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,232,639 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 307,232,639 . The biggest common factor number is the GCF number.
So the greatest common factor 307,232,639 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 37/307, 382/232, 142/639

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 37/307, 382/232, 142/639?

Answer: LCM of Numerators as per given numbers 37/307, 382/232, 142/639 is

LCM of Numerators i.e. for 37,382,142 is 1003514

GCF of denominators i.e. for 307,232,639 is 1.

Thus, LCM of Fractions is 1003514.Finally, LCM of Fractions for 37/307, 382/232, 142/639 is 1003514.