Least Common Multiple of 854/616, 497/247, 609/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/616, 497/247, 609/401 quickly i.e. 5275158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/616, 497/247, 609/401 is 5275158.

LCM(854/616, 497/247, 609/401) = 5275158

LCM of 854/616, 497/247, 609/401

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 854/616,497/247,609/401

Given numbers are 854/616,497/247,609/401

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 854,497,609

Least Common Multiple of Numerators i.e. LCM of 854,497,609 is 5275158.

GCF of Denominators means GCF of 616,247,401 as per the given fractions.

GCF of 616,247,401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,497,609

LCM of Fractions 854/616,497/247,609/401 is 5275158

7 854, 497, 609
122, 71, 87

∴ So the LCM of the given numbers is 7 x 122 x 71 x 87 = 5275158

Least Common Multiple of 854,497,609 with GCF Formula

Least Common Multiple of 854,497,609 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 854,497,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,497,609) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(854,497,609) x common factors =7 x 7 = 49

LCM(854,497,609) = ( 854 × 497 × 609 ) / 49

LCM(854,497,609) = 258482742 / 49

LCM(854,497,609) = 5275158


Lets's calculate GCF of 616,247,401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5275158/1

Therefore the LCM of Fractions 854/616,497/247,609/401 is 5275158

Greatest Common Factor of 616,247,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,247,401 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 616,247,401 . The biggest common factor number is the GCF number.
So the greatest common factor 616,247,401 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 854/616, 497/247, 609/401

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 854/616, 497/247, 609/401?

Answer: LCM of Numerators as per given numbers 854/616, 497/247, 609/401 is

LCM of Numerators i.e. for 854,497,609 is 5275158

GCF of denominators i.e. for 616,247,401 is 1.

Thus, LCM of Fractions is 5275158.Finally, LCM of Fractions for 854/616, 497/247, 609/401 is 5275158.