Least Common Multiple of 677/854, 425/502, 293/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 677/854, 425/502, 293/418 quickly i.e. 84303425/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/854, 425/502, 293/418 is 84303425/2.

LCM(677/854, 425/502, 293/418) = 84303425/2

LCM of 677/854, 425/502, 293/418

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 677/854,425/502,293/418

Given numbers are 677/854,425/502,293/418

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 677,425,293

Least Common Multiple of Numerators i.e. LCM of 677,425,293 is 84303425.

GCF of Denominators means GCF of 854,502,418 as per the given fractions.

GCF of 854,502,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,425,293

LCM of Fractions 677/854,425/502,293/418 is 84303425/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 84303425

Least Common Multiple of 677,425,293 with GCF Formula

Least Common Multiple of 677,425,293 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 677,425,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,425,293) = 1

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

GCF(677,425,293) x common factors =1 x 1 = 1

LCM(677,425,293) = ( 677 × 425 × 293 ) / 1

LCM(677,425,293) = 84303425 / 1

LCM(677,425,293) = 84303425


Lets's calculate GCF of 854,502,418

2 854, 502, 418
427, 251, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84303425/2

Therefore the LCM of Fractions 677/854,425/502,293/418 is 84303425/2

Greatest Common Factor of 854,502,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,502,418 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 854,502,418 . The biggest common factor number is the GCF number.
So the greatest common factor 854,502,418 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 677/854, 425/502, 293/418

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 677/854, 425/502, 293/418?

Answer: LCM of Numerators as per given numbers 677/854, 425/502, 293/418 is

LCM of Numerators i.e. for 677,425,293 is 84303425

GCF of denominators i.e. for 854,502,418 is 2.

Thus, LCM of Fractions is 84303425/2.Finally, LCM of Fractions for 677/854, 425/502, 293/418 is 84303425/2.