Least Common Multiple of 94/78, 18/429, 399/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/78, 18/429, 399/997 quickly i.e. 112518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/78, 18/429, 399/997 is 112518.

LCM(94/78, 18/429, 399/997) = 112518

LCM of 94/78, 18/429, 399/997

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 94/78,18/429,399/997

Given numbers are 94/78,18/429,399/997

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 94,18,399

Least Common Multiple of Numerators i.e. LCM of 94,18,399 is 112518.

GCF of Denominators means GCF of 78,429,997 as per the given fractions.

GCF of 78,429,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,18,399

LCM of Fractions 94/78,18/429,399/997 is 112518

2 94, 18, 399
3 47, 9, 399
47, 3, 133

∴ So the LCM of the given numbers is 2 x 3 x 47 x 3 x 133 = 112518

Least Common Multiple of 94,18,399 with GCF Formula

Least Common Multiple of 94,18,399 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 94,18,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,18,399) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(94,18,399) x common factors =1 x 6 = 6

LCM(94,18,399) = ( 94 × 18 × 399 ) / 6

LCM(94,18,399) = 675108 / 6

LCM(94,18,399) = 112518


Lets's calculate GCF of 78,429,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112518/1

Therefore the LCM of Fractions 94/78,18/429,399/997 is 112518

Greatest Common Factor of 78,429,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,429,997 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 78,429,997 . The biggest common factor number is the GCF number.
So the greatest common factor 78,429,997 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 94/78, 18/429, 399/997

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 94/78, 18/429, 399/997?

Answer: LCM of Numerators as per given numbers 94/78, 18/429, 399/997 is

LCM of Numerators i.e. for 94,18,399 is 112518

GCF of denominators i.e. for 78,429,997 is 1.

Thus, LCM of Fractions is 112518.Finally, LCM of Fractions for 94/78, 18/429, 399/997 is 112518.