Least Common Multiple of 3707/418, 7332/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3707/418, 7332/703 quickly i.e. 27179724/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3707/418, 7332/703 is 27179724/19.

LCM(3707/418, 7332/703) = 27179724/19

LCM of 3707/418, 7332/703

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 3707/418,7332/703

Given numbers are 3707/418,7332/703

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 3707,7332

Least Common Multiple of Numerators i.e. LCM of 3707,7332 is 27179724.

GCF of Denominators means GCF of 418,703 as per the given fractions.

GCF of 418,703 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3707,7332

LCM of Fractions 3707/418,7332/703 is 27179724/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 27179724

Least Common Multiple of 3707,7332 with GCF Formula

Least Common Multiple of 3707,7332 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 3707,7332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3707,7332) = 1

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

GCF(3707,7332) x common factors =1 x 1 = 1

LCM(3707,7332) = ( 3707 × 7332 ) / 1

LCM(3707,7332) = 27179724 / 1

LCM(3707,7332) = 27179724


Lets's calculate GCF of 418,703

19 418, 703
22, 37

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27179724/19

Therefore the LCM of Fractions 3707/418,7332/703 is 27179724/19

Greatest Common Factor of 418,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,703 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 418,703 . The biggest common factor number is the GCF number.
So the greatest common factor 418,703 is 19.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3707/418, 7332/703

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 3707/418, 7332/703?

Answer: LCM of Numerators as per given numbers 3707/418, 7332/703 is

LCM of Numerators i.e. for 3707,7332 is 27179724

GCF of denominators i.e. for 418,703 is 19.

Thus, LCM of Fractions is 27179724/19.Finally, LCM of Fractions for 3707/418, 7332/703 is 27179724/19.