Least Common Multiple of 754/25, 145/17, 975/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/25, 145/17, 975/721 quickly i.e. 56550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/25, 145/17, 975/721 is 56550.

LCM(754/25, 145/17, 975/721) = 56550

LCM of 754/25, 145/17, 975/721

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 754/25,145/17,975/721

Given numbers are 754/25,145/17,975/721

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 754,145,975

Least Common Multiple of Numerators i.e. LCM of 754,145,975 is 56550.

GCF of Denominators means GCF of 25,17,721 as per the given fractions.

GCF of 25,17,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,145,975

LCM of Fractions 754/25,145/17,975/721 is 56550

5 754, 145, 975
13 754, 29, 195
29 58, 29, 15
2, 1, 15

∴ So the LCM of the given numbers is 5 x 13 x 29 x 2 x 1 x 15 = 56550

Least Common Multiple of 754,145,975 with GCF Formula

Least Common Multiple of 754,145,975 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 754,145,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,145,975) = 1

common factors(in case of two or more numbers have common factors) = 1885

GCF(754,145,975) x common factors =1 x 1885 = 1885

LCM(754,145,975) = ( 754 × 145 × 975 ) / 1885

LCM(754,145,975) = 106596750 / 1885

LCM(754,145,975) = 56550


Lets's calculate GCF of 25,17,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56550/1

Therefore the LCM of Fractions 754/25,145/17,975/721 is 56550

Greatest Common Factor of 25,17,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,17,721 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 25,17,721 . The biggest common factor number is the GCF number.
So the greatest common factor 25,17,721 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 754/25, 145/17, 975/721

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 754/25, 145/17, 975/721?

Answer: LCM of Numerators as per given numbers 754/25, 145/17, 975/721 is

LCM of Numerators i.e. for 754,145,975 is 56550

GCF of denominators i.e. for 25,17,721 is 1.

Thus, LCM of Fractions is 56550.Finally, LCM of Fractions for 754/25, 145/17, 975/721 is 56550.