Least Common Multiple of 741/83, 754/60, 325/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 741/83, 754/60, 325/264 quickly i.e. 1074450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/83, 754/60, 325/264 is 1074450.

LCM(741/83, 754/60, 325/264) = 1074450

LCM of 741/83, 754/60, 325/264

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 741/83,754/60,325/264

Given numbers are 741/83,754/60,325/264

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 741,754,325

Least Common Multiple of Numerators i.e. LCM of 741,754,325 is 1074450.

GCF of Denominators means GCF of 83,60,264 as per the given fractions.

GCF of 83,60,264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,754,325

LCM of Fractions 741/83,754/60,325/264 is 1074450

13 741, 754, 325
57, 58, 25

∴ So the LCM of the given numbers is 13 x 57 x 58 x 25 = 1074450

Least Common Multiple of 741,754,325 with GCF Formula

Least Common Multiple of 741,754,325 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 741,754,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,754,325) = 13

common factors(in case of two or more numbers have common factors) = 13

GCF(741,754,325) x common factors =13 x 13 = 169

LCM(741,754,325) = ( 741 × 754 × 325 ) / 169

LCM(741,754,325) = 181582050 / 169

LCM(741,754,325) = 1074450


Lets's calculate GCF of 83,60,264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1074450/1

Therefore the LCM of Fractions 741/83,754/60,325/264 is 1074450

Greatest Common Factor of 83,60,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,60,264 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 83,60,264 . The biggest common factor number is the GCF number.
So the greatest common factor 83,60,264 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 741/83, 754/60, 325/264

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 741/83, 754/60, 325/264?

Answer: LCM of Numerators as per given numbers 741/83, 754/60, 325/264 is

LCM of Numerators i.e. for 741,754,325 is 1074450

GCF of denominators i.e. for 83,60,264 is 1.

Thus, LCM of Fractions is 1074450.Finally, LCM of Fractions for 741/83, 754/60, 325/264 is 1074450.