Least Common Multiple of 878/867, 300/189, 989/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 878/867, 300/189, 989/641 quickly i.e. 130251300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 878/867, 300/189, 989/641 is 130251300.

LCM(878/867, 300/189, 989/641) = 130251300

LCM of 878/867, 300/189, 989/641

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 878/867,300/189,989/641

Given numbers are 878/867,300/189,989/641

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 878,300,989

Least Common Multiple of Numerators i.e. LCM of 878,300,989 is 130251300.

GCF of Denominators means GCF of 867,189,641 as per the given fractions.

GCF of 867,189,641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 878,300,989

LCM of Fractions 878/867,300/189,989/641 is 130251300

2 878, 300, 989
439, 150, 989

∴ So the LCM of the given numbers is 2 x 439 x 150 x 989 = 130251300

Least Common Multiple of 878,300,989 with GCF Formula

Least Common Multiple of 878,300,989 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 878,300,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,300,989) = 1

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

GCF(878,300,989) x common factors =1 x 2 = 2

LCM(878,300,989) = ( 878 × 300 × 989 ) / 2

LCM(878,300,989) = 260502600 / 2

LCM(878,300,989) = 130251300


Lets's calculate GCF of 867,189,641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130251300/1

Therefore the LCM of Fractions 878/867,300/189,989/641 is 130251300

Greatest Common Factor of 867,189,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,189,641 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Greatest Common Factor

We found the factors 867,189,641 . The biggest common factor number is the GCF number.
So the greatest common factor 867,189,641 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 878/867, 300/189, 989/641

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 878/867, 300/189, 989/641?

Answer: LCM of Numerators as per given numbers 878/867, 300/189, 989/641 is

LCM of Numerators i.e. for 878,300,989 is 130251300

GCF of denominators i.e. for 867,189,641 is 1.

Thus, LCM of Fractions is 130251300.Finally, LCM of Fractions for 878/867, 300/189, 989/641 is 130251300.