Least Common Multiple of 828/873, 167/643, 649/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/873, 167/643, 649/633 quickly i.e. 89741124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/873, 167/643, 649/633 is 89741124.

LCM(828/873, 167/643, 649/633) = 89741124

LCM of 828/873, 167/643, 649/633

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 828/873,167/643,649/633

Given numbers are 828/873,167/643,649/633

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 828,167,649

Least Common Multiple of Numerators i.e. LCM of 828,167,649 is 89741124.

GCF of Denominators means GCF of 873,643,633 as per the given fractions.

GCF of 873,643,633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,167,649

LCM of Fractions 828/873,167/643,649/633 is 89741124

Given numbers has no common factors except 1. So, there LCM is their product i.e 89741124

Least Common Multiple of 828,167,649 with GCF Formula

Least Common Multiple of 828,167,649 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 828,167,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,167,649) = 1

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

GCF(828,167,649) x common factors =1 x 1 = 1

LCM(828,167,649) = ( 828 × 167 × 649 ) / 1

LCM(828,167,649) = 89741124 / 1

LCM(828,167,649) = 89741124


Lets's calculate GCF of 873,643,633

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89741124/1

Therefore the LCM of Fractions 828/873,167/643,649/633 is 89741124

Greatest Common Factor of 873,643,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,643,633 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

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 873,643,633 . The biggest common factor number is the GCF number.
So the greatest common factor 873,643,633 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 828/873, 167/643, 649/633

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 828/873, 167/643, 649/633?

Answer: LCM of Numerators as per given numbers 828/873, 167/643, 649/633 is

LCM of Numerators i.e. for 828,167,649 is 89741124

GCF of denominators i.e. for 873,643,633 is 1.

Thus, LCM of Fractions is 89741124.Finally, LCM of Fractions for 828/873, 167/643, 649/633 is 89741124.