Least Common Multiple of 558/76, 709/85, 976/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 558/76, 709/85, 976/633 quickly i.e. 193063536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/76, 709/85, 976/633 is 193063536.

LCM(558/76, 709/85, 976/633) = 193063536

LCM of 558/76, 709/85, 976/633

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 558/76,709/85,976/633

Given numbers are 558/76,709/85,976/633

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 558,709,976

Least Common Multiple of Numerators i.e. LCM of 558,709,976 is 193063536.

GCF of Denominators means GCF of 76,85,633 as per the given fractions.

GCF of 76,85,633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,709,976

LCM of Fractions 558/76,709/85,976/633 is 193063536

2 558, 709, 976
279, 709, 488

∴ So the LCM of the given numbers is 2 x 279 x 709 x 488 = 193063536

Least Common Multiple of 558,709,976 with GCF Formula

Least Common Multiple of 558,709,976 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 558,709,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,709,976) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(558,709,976) x common factors =1 x 2 = 2

LCM(558,709,976) = ( 558 × 709 × 976 ) / 2

LCM(558,709,976) = 386127072 / 2

LCM(558,709,976) = 193063536


Lets's calculate GCF of 76,85,633

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193063536/1

Therefore the LCM of Fractions 558/76,709/85,976/633 is 193063536

Greatest Common Factor of 76,85,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,85,633 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 76,85,633 . The biggest common factor number is the GCF number.
So the greatest common factor 76,85,633 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 558/76, 709/85, 976/633

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 558/76, 709/85, 976/633?

Answer: LCM of Numerators as per given numbers 558/76, 709/85, 976/633 is

LCM of Numerators i.e. for 558,709,976 is 193063536

GCF of denominators i.e. for 76,85,633 is 1.

Thus, LCM of Fractions is 193063536.Finally, LCM of Fractions for 558/76, 709/85, 976/633 is 193063536.