Least Common Multiple of 92/808, 508/414, 678/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/808, 508/414, 678/542 quickly i.e. 1980438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/808, 508/414, 678/542 is 1980438.

LCM(92/808, 508/414, 678/542) = 1980438

LCM of 92/808, 508/414, 678/542

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 92/808,508/414,678/542

Given numbers are 92/808,508/414,678/542

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 92,508,678

Least Common Multiple of Numerators i.e. LCM of 92,508,678 is 3960876.

GCF of Denominators means GCF of 808,414,542 as per the given fractions.

GCF of 808,414,542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,508,678

LCM of Fractions 92/808,508/414,678/542 is 1980438

2 92, 508, 678
2 46, 254, 339
23, 127, 339

∴ So the LCM of the given numbers is 2 x 2 x 23 x 127 x 339 = 3960876

Least Common Multiple of 92,508,678 with GCF Formula

Least Common Multiple of 92,508,678 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 92,508,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,508,678) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(92,508,678) x common factors =2 x 4 = 8

LCM(92,508,678) = ( 92 × 508 × 678 ) / 8

LCM(92,508,678) = 31687008 / 8

LCM(92,508,678) = 3960876


Lets's calculate GCF of 808,414,542

2 808, 414, 542
404, 207, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3960876/2

Therefore the LCM of Fractions 92/808,508/414,678/542 is 1980438

Greatest Common Factor of 808,414,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,414,542 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 808,414,542 . The biggest common factor number is the GCF number.
So the greatest common factor 808,414,542 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 92/808, 508/414, 678/542

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 92/808, 508/414, 678/542?

Answer: LCM of Numerators as per given numbers 92/808, 508/414, 678/542 is

LCM of Numerators i.e. for 92,508,678 is 3960876

GCF of denominators i.e. for 808,414,542 is 2.

Thus, LCM of Fractions is 1980438.Finally, LCM of Fractions for 92/808, 508/414, 678/542 is 1980438.