Least Common Multiple of 39/18, 640/94, 178/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/18, 640/94, 178/138 quickly i.e. 1110720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/18, 640/94, 178/138 is 1110720.

LCM(39/18, 640/94, 178/138) = 1110720

LCM of 39/18, 640/94, 178/138

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 39/18,640/94,178/138

Given numbers are 39/18,640/94,178/138

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 39,640,178

Least Common Multiple of Numerators i.e. LCM of 39,640,178 is 2221440.

GCF of Denominators means GCF of 18,94,138 as per the given fractions.

GCF of 18,94,138 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,640,178

LCM of Fractions 39/18,640/94,178/138 is 1110720

2 39, 640, 178
39, 320, 89

∴ So the LCM of the given numbers is 2 x 39 x 320 x 89 = 2221440

Least Common Multiple of 39,640,178 with GCF Formula

Least Common Multiple of 39,640,178 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 39,640,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,640,178) = 1

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

GCF(39,640,178) x common factors =1 x 2 = 2

LCM(39,640,178) = ( 39 × 640 × 178 ) / 2

LCM(39,640,178) = 4442880 / 2

LCM(39,640,178) = 2221440


Lets's calculate GCF of 18,94,138

2 18, 94, 138
9, 47, 69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2221440/2

Therefore the LCM of Fractions 39/18,640/94,178/138 is 1110720

Greatest Common Factor of 18,94,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,94,138 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 94

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

1,2,47,94

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 18,94,138 . The biggest common factor number is the GCF number.
So the greatest common factor 18,94,138 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/18, 640/94, 178/138

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 39/18, 640/94, 178/138?

Answer: LCM of Numerators as per given numbers 39/18, 640/94, 178/138 is

LCM of Numerators i.e. for 39,640,178 is 2221440

GCF of denominators i.e. for 18,94,138 is 2.

Thus, LCM of Fractions is 1110720.Finally, LCM of Fractions for 39/18, 640/94, 178/138 is 1110720.