Least Common Multiple of 37/32, 614/86, 696/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/32, 614/86, 696/939 quickly i.e. 7905864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/32, 614/86, 696/939 is 7905864.

LCM(37/32, 614/86, 696/939) = 7905864

LCM of 37/32, 614/86, 696/939

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 37/32,614/86,696/939

Given numbers are 37/32,614/86,696/939

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 37,614,696

Least Common Multiple of Numerators i.e. LCM of 37,614,696 is 7905864.

GCF of Denominators means GCF of 32,86,939 as per the given fractions.

GCF of 32,86,939 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,614,696

LCM of Fractions 37/32,614/86,696/939 is 7905864

2 37, 614, 696
37, 307, 348

∴ So the LCM of the given numbers is 2 x 37 x 307 x 348 = 7905864

Least Common Multiple of 37,614,696 with GCF Formula

Least Common Multiple of 37,614,696 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 37,614,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,614,696) = 1

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

GCF(37,614,696) x common factors =1 x 2 = 2

LCM(37,614,696) = ( 37 × 614 × 696 ) / 2

LCM(37,614,696) = 15811728 / 2

LCM(37,614,696) = 7905864


Lets's calculate GCF of 32,86,939

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7905864/1

Therefore the LCM of Fractions 37/32,614/86,696/939 is 7905864

Greatest Common Factor of 32,86,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,86,939 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 32,86,939 . The biggest common factor number is the GCF number.
So the greatest common factor 32,86,939 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/32, 614/86, 696/939

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 37/32, 614/86, 696/939?

Answer: LCM of Numerators as per given numbers 37/32, 614/86, 696/939 is

LCM of Numerators i.e. for 37,614,696 is 7905864

GCF of denominators i.e. for 32,86,939 is 1.

Thus, LCM of Fractions is 7905864.Finally, LCM of Fractions for 37/32, 614/86, 696/939 is 7905864.