Least Common Multiple of 741/21, 125/6688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 741/21, 125/6688 quickly i.e. 92625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/21, 125/6688 is 92625.

LCM(741/21, 125/6688) = 92625

LCM of 741/21, 125/6688

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 741/21,125/6688

Given numbers are 741/21,125/6688

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 741,125

Least Common Multiple of Numerators i.e. LCM of 741,125 is 92625.

GCF of Denominators means GCF of 21,6688 as per the given fractions.

GCF of 21,6688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,125

LCM of Fractions 741/21,125/6688 is 92625

Given numbers has no common factors except 1. So, there LCM is their product i.e 92625

Least Common Multiple of 741,125 with GCF Formula

Least Common Multiple of 741,125 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 741,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,125) = 1

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

GCF(741,125) x common factors =1 x 1 = 1

LCM(741,125) = ( 741 × 125 ) / 1

LCM(741,125) = 92625 / 1

LCM(741,125) = 92625


Lets's calculate GCF of 21,6688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92625/1

Therefore the LCM of Fractions 741/21,125/6688 is 92625

Greatest Common Factor of 21,6688 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,6688 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

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 21,6688 . The biggest common factor number is the GCF number.
So the greatest common factor 21,6688 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 741/21, 125/6688

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 741/21, 125/6688?

Answer: LCM of Numerators as per given numbers 741/21, 125/6688 is

LCM of Numerators i.e. for 741,125 is 92625

GCF of denominators i.e. for 21,6688 is 1.

Thus, LCM of Fractions is 92625.Finally, LCM of Fractions for 741/21, 125/6688 is 92625.