Least Common Multiple of 339/88, 708/40, 423/94

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 339/88, 708/40, 423/94 quickly i.e. 5640282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 339/88, 708/40, 423/94 is 5640282.

LCM(339/88, 708/40, 423/94) = 5640282

LCM of 339/88, 708/40, 423/94

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 339/88,708/40,423/94

Given numbers are 339/88,708/40,423/94

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 339,708,423

Least Common Multiple of Numerators i.e. LCM of 339,708,423 is 11280564.

GCF of Denominators means GCF of 88,40,94 as per the given fractions.

GCF of 88,40,94 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 339,708,423

LCM of Fractions 339/88,708/40,423/94 is 5640282

3 339, 708, 423
113, 236, 141

∴ So the LCM of the given numbers is 3 x 113 x 236 x 141 = 11280564

Least Common Multiple of 339,708,423 with GCF Formula

Least Common Multiple of 339,708,423 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 339,708,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,708,423) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(339,708,423) x common factors =3 x 3 = 9

LCM(339,708,423) = ( 339 × 708 × 423 ) / 9

LCM(339,708,423) = 101525076 / 9

LCM(339,708,423) = 11280564


Lets's calculate GCF of 88,40,94

2 88, 40, 94
44, 20, 47

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11280564/2

Therefore the LCM of Fractions 339/88,708/40,423/94 is 5640282

Greatest Common Factor of 88,40,94 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,40,94 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Greatest Common Factor

We found the factors 88,40,94 . The biggest common factor number is the GCF number.
So the greatest common factor 88,40,94 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 339/88, 708/40, 423/94

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 339/88, 708/40, 423/94?

Answer: LCM of Numerators as per given numbers 339/88, 708/40, 423/94 is

LCM of Numerators i.e. for 339,708,423 is 11280564

GCF of denominators i.e. for 88,40,94 is 2.

Thus, LCM of Fractions is 5640282.Finally, LCM of Fractions for 339/88, 708/40, 423/94 is 5640282.