Least Common Multiple of 742/78, 904/1379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 742/78, 904/1379 quickly i.e. 335384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 742/78, 904/1379 is 335384.

LCM(742/78, 904/1379) = 335384

LCM of 742/78, 904/1379

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 742/78,904/1379

Given numbers are 742/78,904/1379

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 742,904

Least Common Multiple of Numerators i.e. LCM of 742,904 is 335384.

GCF of Denominators means GCF of 78,1379 as per the given fractions.

GCF of 78,1379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 742,904

LCM of Fractions 742/78,904/1379 is 335384

2 742, 904
371, 452

∴ So the LCM of the given numbers is 2 x 371 x 452 = 335384

Least Common Multiple of 742,904 with GCF Formula

Least Common Multiple of 742,904 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 742,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,904) = 2

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

GCF(742,904) x common factors =2 x 1 = 2

LCM(742,904) = ( 742 × 904 ) / 2

LCM(742,904) = 670768 / 2

LCM(742,904) = 335384


Lets's calculate GCF of 78,1379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335384/1

Therefore the LCM of Fractions 742/78,904/1379 is 335384

Greatest Common Factor of 78,1379 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,1379 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 1379

List of positive integer factors of 1379 that divides 1379 without a remainder.

1,7,197,1379

Greatest Common Factor

We found the factors 78,1379 . The biggest common factor number is the GCF number.
So the greatest common factor 78,1379 is 1.


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 742/78, 904/1379

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 742/78, 904/1379?

Answer: LCM of Numerators as per given numbers 742/78, 904/1379 is

LCM of Numerators i.e. for 742,904 is 335384

GCF of denominators i.e. for 78,1379 is 1.

Thus, LCM of Fractions is 335384.Finally, LCM of Fractions for 742/78, 904/1379 is 335384.