Least Common Multiple of 76/70, 46/42, 678/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/70, 46/42, 678/496 quickly i.e. 296286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/70, 46/42, 678/496 is 296286.

LCM(76/70, 46/42, 678/496) = 296286

LCM of 76/70, 46/42, 678/496

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 76/70,46/42,678/496

Given numbers are 76/70,46/42,678/496

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 76,46,678

Least Common Multiple of Numerators i.e. LCM of 76,46,678 is 592572.

GCF of Denominators means GCF of 70,42,496 as per the given fractions.

GCF of 70,42,496 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,46,678

LCM of Fractions 76/70,46/42,678/496 is 296286

2 76, 46, 678
38, 23, 339

∴ So the LCM of the given numbers is 2 x 38 x 23 x 339 = 592572

Least Common Multiple of 76,46,678 with GCF Formula

Least Common Multiple of 76,46,678 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 76,46,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,46,678) = 2

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

GCF(76,46,678) x common factors =2 x 2 = 4

LCM(76,46,678) = ( 76 × 46 × 678 ) / 4

LCM(76,46,678) = 2370288 / 4

LCM(76,46,678) = 592572


Lets's calculate GCF of 70,42,496

2 70, 42, 496
35, 21, 248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 592572/2

Therefore the LCM of Fractions 76/70,46/42,678/496 is 296286

Greatest Common Factor of 70,42,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,42,496 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 70,42,496 . The biggest common factor number is the GCF number.
So the greatest common factor 70,42,496 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 76/70, 46/42, 678/496

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 76/70, 46/42, 678/496?

Answer: LCM of Numerators as per given numbers 76/70, 46/42, 678/496 is

LCM of Numerators i.e. for 76,46,678 is 592572

GCF of denominators i.e. for 70,42,496 is 2.

Thus, LCM of Fractions is 296286.Finally, LCM of Fractions for 76/70, 46/42, 678/496 is 296286.