Least Common Multiple of 558/171, 649/984, 957/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 558/171, 649/984, 957/682 quickly i.e. 10502118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/171, 649/984, 957/682 is 10502118.

LCM(558/171, 649/984, 957/682) = 10502118

LCM of 558/171, 649/984, 957/682

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 558/171,649/984,957/682

Given numbers are 558/171,649/984,957/682

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 558,649,957

Least Common Multiple of Numerators i.e. LCM of 558,649,957 is 10502118.

GCF of Denominators means GCF of 171,984,682 as per the given fractions.

GCF of 171,984,682 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,649,957

LCM of Fractions 558/171,649/984,957/682 is 10502118

3 558, 649, 957
11 186, 649, 319
186, 59, 29

∴ So the LCM of the given numbers is 3 x 11 x 186 x 59 x 29 = 10502118

Least Common Multiple of 558,649,957 with GCF Formula

Least Common Multiple of 558,649,957 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 558,649,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,649,957) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(558,649,957) x common factors =1 x 33 = 33

LCM(558,649,957) = ( 558 × 649 × 957 ) / 33

LCM(558,649,957) = 346569894 / 33

LCM(558,649,957) = 10502118


Lets's calculate GCF of 171,984,682

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10502118/1

Therefore the LCM of Fractions 558/171,649/984,957/682 is 10502118

Greatest Common Factor of 171,984,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,984,682 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 171,984,682 . The biggest common factor number is the GCF number.
So the greatest common factor 171,984,682 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 558/171, 649/984, 957/682

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 558/171, 649/984, 957/682?

Answer: LCM of Numerators as per given numbers 558/171, 649/984, 957/682 is

LCM of Numerators i.e. for 558,649,957 is 10502118

GCF of denominators i.e. for 171,984,682 is 1.

Thus, LCM of Fractions is 10502118.Finally, LCM of Fractions for 558/171, 649/984, 957/682 is 10502118.