Least Common Multiple of 42/934, 1448/7679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/934, 1448/7679 quickly i.e. 30408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/934, 1448/7679 is 30408.

LCM(42/934, 1448/7679) = 30408

LCM of 42/934, 1448/7679

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 42/934,1448/7679

Given numbers are 42/934,1448/7679

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 42,1448

Least Common Multiple of Numerators i.e. LCM of 42,1448 is 30408.

GCF of Denominators means GCF of 934,7679 as per the given fractions.

GCF of 934,7679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,1448

LCM of Fractions 42/934,1448/7679 is 30408

2 42, 1448
21, 724

∴ So the LCM of the given numbers is 2 x 21 x 724 = 30408

Least Common Multiple of 42,1448 with GCF Formula

Least Common Multiple of 42,1448 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 42,1448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,1448) = 2

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

GCF(42,1448) x common factors =2 x 1 = 2

LCM(42,1448) = ( 42 × 1448 ) / 2

LCM(42,1448) = 60816 / 2

LCM(42,1448) = 30408


Lets's calculate GCF of 934,7679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30408/1

Therefore the LCM of Fractions 42/934,1448/7679 is 30408

Greatest Common Factor of 934,7679 By Matching Biggest Common Factor Method

Greatest Common Factor of 934,7679 By Matching Biggest Common Factor Method

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 7679

List of positive integer factors of 7679 that divides 7679 without a remainder.

1,7,1097,7679

Greatest Common Factor

We found the factors 934,7679 . The biggest common factor number is the GCF number.
So the greatest common factor 934,7679 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 42/934, 1448/7679

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 42/934, 1448/7679?

Answer: LCM of Numerators as per given numbers 42/934, 1448/7679 is

LCM of Numerators i.e. for 42,1448 is 30408

GCF of denominators i.e. for 934,7679 is 1.

Thus, LCM of Fractions is 30408.Finally, LCM of Fractions for 42/934, 1448/7679 is 30408.