Least Common Multiple of 624/91, 676/86, 556/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 624/91, 676/86, 556/687 quickly i.e. 1127568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 624/91, 676/86, 556/687 is 1127568.

LCM(624/91, 676/86, 556/687) = 1127568

LCM of 624/91, 676/86, 556/687

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 624/91,676/86,556/687

Given numbers are 624/91,676/86,556/687

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 624,676,556

Least Common Multiple of Numerators i.e. LCM of 624,676,556 is 1127568.

GCF of Denominators means GCF of 91,86,687 as per the given fractions.

GCF of 91,86,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 624,676,556

LCM of Fractions 624/91,676/86,556/687 is 1127568

2 624, 676, 556
2 312, 338, 278
13 156, 169, 139
12, 13, 139

∴ So the LCM of the given numbers is 2 x 2 x 13 x 12 x 13 x 139 = 1127568

Least Common Multiple of 624,676,556 with GCF Formula

Least Common Multiple of 624,676,556 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 624,676,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,676,556) = 4

common factors(in case of two or more numbers have common factors) = 52

GCF(624,676,556) x common factors =4 x 52 = 208

LCM(624,676,556) = ( 624 × 676 × 556 ) / 208

LCM(624,676,556) = 234534144 / 208

LCM(624,676,556) = 1127568


Lets's calculate GCF of 91,86,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1127568/1

Therefore the LCM of Fractions 624/91,676/86,556/687 is 1127568

Greatest Common Factor of 91,86,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,86,687 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 91,86,687 . The biggest common factor number is the GCF number.
So the greatest common factor 91,86,687 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 624/91, 676/86, 556/687

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 624/91, 676/86, 556/687?

Answer: LCM of Numerators as per given numbers 624/91, 676/86, 556/687 is

LCM of Numerators i.e. for 624,676,556 is 1127568

GCF of denominators i.e. for 91,86,687 is 1.

Thus, LCM of Fractions is 1127568.Finally, LCM of Fractions for 624/91, 676/86, 556/687 is 1127568.