Least Common Multiple of 6275/153, 9241/6688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6275/153, 9241/6688 quickly i.e. 57987275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6275/153, 9241/6688 is 57987275.

LCM(6275/153, 9241/6688) = 57987275

LCM of 6275/153, 9241/6688

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 6275/153,9241/6688

Given numbers are 6275/153,9241/6688

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 6275,9241

Least Common Multiple of Numerators i.e. LCM of 6275,9241 is 57987275.

GCF of Denominators means GCF of 153,6688 as per the given fractions.

GCF of 153,6688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6275,9241

LCM of Fractions 6275/153,9241/6688 is 57987275

Given numbers has no common factors except 1. So, there LCM is their product i.e 57987275

Least Common Multiple of 6275,9241 with GCF Formula

Least Common Multiple of 6275,9241 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 6275,9241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6275,9241) = 1

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

GCF(6275,9241) x common factors =1 x 1 = 1

LCM(6275,9241) = ( 6275 × 9241 ) / 1

LCM(6275,9241) = 57987275 / 1

LCM(6275,9241) = 57987275


Lets's calculate GCF of 153,6688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57987275/1

Therefore the LCM of Fractions 6275/153,9241/6688 is 57987275

Greatest Common Factor of 153,6688 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,6688 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 6688

List of positive integer factors of 6688 that divides 6688 without a remainder.

1,2,4,8,11,16,19,22,32,38,44,76,88,152,176,209,304,352,418,608,836,1672,3344,6688

Greatest Common Factor

We found the factors 153,6688 . The biggest common factor number is the GCF number.
So the greatest common factor 153,6688 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 6275/153, 9241/6688

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 6275/153, 9241/6688?

Answer: LCM of Numerators as per given numbers 6275/153, 9241/6688 is

LCM of Numerators i.e. for 6275,9241 is 57987275

GCF of denominators i.e. for 153,6688 is 1.

Thus, LCM of Fractions is 57987275.Finally, LCM of Fractions for 6275/153, 9241/6688 is 57987275.