Least Common Multiple of 82/37, 669/61, 788/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/37, 669/61, 788/907 quickly i.e. 21614052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/37, 669/61, 788/907 is 21614052.

LCM(82/37, 669/61, 788/907) = 21614052

LCM of 82/37, 669/61, 788/907

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 82/37,669/61,788/907

Given numbers are 82/37,669/61,788/907

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 82,669,788

Least Common Multiple of Numerators i.e. LCM of 82,669,788 is 21614052.

GCF of Denominators means GCF of 37,61,907 as per the given fractions.

GCF of 37,61,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,669,788

LCM of Fractions 82/37,669/61,788/907 is 21614052

2 82, 669, 788
41, 669, 394

∴ So the LCM of the given numbers is 2 x 41 x 669 x 394 = 21614052

Least Common Multiple of 82,669,788 with GCF Formula

Least Common Multiple of 82,669,788 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 82,669,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,669,788) = 1

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

GCF(82,669,788) x common factors =1 x 2 = 2

LCM(82,669,788) = ( 82 × 669 × 788 ) / 2

LCM(82,669,788) = 43228104 / 2

LCM(82,669,788) = 21614052


Lets's calculate GCF of 37,61,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21614052/1

Therefore the LCM of Fractions 82/37,669/61,788/907 is 21614052

Greatest Common Factor of 37,61,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,61,907 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 37,61,907 . The biggest common factor number is the GCF number.
So the greatest common factor 37,61,907 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 82/37, 669/61, 788/907

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 82/37, 669/61, 788/907?

Answer: LCM of Numerators as per given numbers 82/37, 669/61, 788/907 is

LCM of Numerators i.e. for 82,669,788 is 21614052

GCF of denominators i.e. for 37,61,907 is 1.

Thus, LCM of Fractions is 21614052.Finally, LCM of Fractions for 82/37, 669/61, 788/907 is 21614052.