Least Common Multiple of 47/867, 362/868, 553/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/867, 362/868, 553/292 quickly i.e. 9408742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/867, 362/868, 553/292 is 9408742.

LCM(47/867, 362/868, 553/292) = 9408742

LCM of 47/867, 362/868, 553/292

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 47/867,362/868,553/292

Given numbers are 47/867,362/868,553/292

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 47,362,553

Least Common Multiple of Numerators i.e. LCM of 47,362,553 is 9408742.

GCF of Denominators means GCF of 867,868,292 as per the given fractions.

GCF of 867,868,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,362,553

LCM of Fractions 47/867,362/868,553/292 is 9408742

Given numbers has no common factors except 1. So, there LCM is their product i.e 9408742

Least Common Multiple of 47,362,553 with GCF Formula

Least Common Multiple of 47,362,553 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 47,362,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,362,553) = 1

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

GCF(47,362,553) x common factors =1 x 1 = 1

LCM(47,362,553) = ( 47 × 362 × 553 ) / 1

LCM(47,362,553) = 9408742 / 1

LCM(47,362,553) = 9408742


Lets's calculate GCF of 867,868,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9408742/1

Therefore the LCM of Fractions 47/867,362/868,553/292 is 9408742

Greatest Common Factor of 867,868,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,868,292 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 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 867,868,292 . The biggest common factor number is the GCF number.
So the greatest common factor 867,868,292 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 47/867, 362/868, 553/292

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 47/867, 362/868, 553/292?

Answer: LCM of Numerators as per given numbers 47/867, 362/868, 553/292 is

LCM of Numerators i.e. for 47,362,553 is 9408742

GCF of denominators i.e. for 867,868,292 is 1.

Thus, LCM of Fractions is 9408742.Finally, LCM of Fractions for 47/867, 362/868, 553/292 is 9408742.