Least Common Multiple of 645/847, 123/162, 227/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/847, 123/162, 227/653 quickly i.e. 6003015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/847, 123/162, 227/653 is 6003015.

LCM(645/847, 123/162, 227/653) = 6003015

LCM of 645/847, 123/162, 227/653

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 645/847,123/162,227/653

Given numbers are 645/847,123/162,227/653

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 645,123,227

Least Common Multiple of Numerators i.e. LCM of 645,123,227 is 6003015.

GCF of Denominators means GCF of 847,162,653 as per the given fractions.

GCF of 847,162,653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,123,227

LCM of Fractions 645/847,123/162,227/653 is 6003015

3 645, 123, 227
215, 41, 227

∴ So the LCM of the given numbers is 3 x 215 x 41 x 227 = 6003015

Least Common Multiple of 645,123,227 with GCF Formula

Least Common Multiple of 645,123,227 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 645,123,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,123,227) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(645,123,227) x common factors =1 x 3 = 3

LCM(645,123,227) = ( 645 × 123 × 227 ) / 3

LCM(645,123,227) = 18009045 / 3

LCM(645,123,227) = 6003015


Lets's calculate GCF of 847,162,653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6003015/1

Therefore the LCM of Fractions 645/847,123/162,227/653 is 6003015

Greatest Common Factor of 847,162,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,162,653 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 847,162,653 . The biggest common factor number is the GCF number.
So the greatest common factor 847,162,653 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 645/847, 123/162, 227/653

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 645/847, 123/162, 227/653?

Answer: LCM of Numerators as per given numbers 645/847, 123/162, 227/653 is

LCM of Numerators i.e. for 645,123,227 is 6003015

GCF of denominators i.e. for 847,162,653 is 1.

Thus, LCM of Fractions is 6003015.Finally, LCM of Fractions for 645/847, 123/162, 227/653 is 6003015.