Least Common Multiple of 8148/946, 9645/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8148/946, 9645/143 quickly i.e. 26195820/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8148/946, 9645/143 is 26195820/11.

LCM(8148/946, 9645/143) = 26195820/11

LCM of 8148/946, 9645/143

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 8148/946,9645/143

Given numbers are 8148/946,9645/143

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 8148,9645

Least Common Multiple of Numerators i.e. LCM of 8148,9645 is 26195820.

GCF of Denominators means GCF of 946,143 as per the given fractions.

GCF of 946,143 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8148,9645

LCM of Fractions 8148/946,9645/143 is 26195820/11

3 8148, 9645
2716, 3215

∴ So the LCM of the given numbers is 3 x 2716 x 3215 = 26195820

Least Common Multiple of 8148,9645 with GCF Formula

Least Common Multiple of 8148,9645 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 8148,9645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8148,9645) = 3

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

GCF(8148,9645) x common factors =3 x 1 = 3

LCM(8148,9645) = ( 8148 × 9645 ) / 3

LCM(8148,9645) = 78587460 / 3

LCM(8148,9645) = 26195820


Lets's calculate GCF of 946,143

11 946, 143
86, 13

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26195820/11

Therefore the LCM of Fractions 8148/946,9645/143 is 26195820/11

Greatest Common Factor of 946,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,143 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 946,143 . The biggest common factor number is the GCF number.
So the greatest common factor 946,143 is 11.


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 8148/946, 9645/143

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 8148/946, 9645/143?

Answer: LCM of Numerators as per given numbers 8148/946, 9645/143 is

LCM of Numerators i.e. for 8148,9645 is 26195820

GCF of denominators i.e. for 946,143 is 11.

Thus, LCM of Fractions is 26195820/11.Finally, LCM of Fractions for 8148/946, 9645/143 is 26195820/11.