Least Common Multiple of 78/102, 124/936, 427/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/102, 124/936, 427/608 quickly i.e. 1032486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/102, 124/936, 427/608 is 1032486.

LCM(78/102, 124/936, 427/608) = 1032486

LCM of 78/102, 124/936, 427/608

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 78/102,124/936,427/608

Given numbers are 78/102,124/936,427/608

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 78,124,427

Least Common Multiple of Numerators i.e. LCM of 78,124,427 is 2064972.

GCF of Denominators means GCF of 102,936,608 as per the given fractions.

GCF of 102,936,608 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,124,427

LCM of Fractions 78/102,124/936,427/608 is 1032486

2 78, 124, 427
39, 62, 427

∴ So the LCM of the given numbers is 2 x 39 x 62 x 427 = 2064972

Least Common Multiple of 78,124,427 with GCF Formula

Least Common Multiple of 78,124,427 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 78,124,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,124,427) = 1

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

GCF(78,124,427) x common factors =1 x 2 = 2

LCM(78,124,427) = ( 78 × 124 × 427 ) / 2

LCM(78,124,427) = 4129944 / 2

LCM(78,124,427) = 2064972


Lets's calculate GCF of 102,936,608

2 102, 936, 608
51, 468, 304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2064972/2

Therefore the LCM of Fractions 78/102,124/936,427/608 is 1032486

Greatest Common Factor of 102,936,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,936,608 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 102,936,608 . The biggest common factor number is the GCF number.
So the greatest common factor 102,936,608 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 78/102, 124/936, 427/608

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 78/102, 124/936, 427/608?

Answer: LCM of Numerators as per given numbers 78/102, 124/936, 427/608 is

LCM of Numerators i.e. for 78,124,427 is 2064972

GCF of denominators i.e. for 102,936,608 is 2.

Thus, LCM of Fractions is 1032486.Finally, LCM of Fractions for 78/102, 124/936, 427/608 is 1032486.