Least Common Multiple of 55/68, 89/41, 75/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/68, 89/41, 75/753 quickly i.e. 73425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/68, 89/41, 75/753 is 73425.

LCM(55/68, 89/41, 75/753) = 73425

LCM of 55/68, 89/41, 75/753

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 55/68,89/41,75/753

Given numbers are 55/68,89/41,75/753

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 55,89,75

Least Common Multiple of Numerators i.e. LCM of 55,89,75 is 73425.

GCF of Denominators means GCF of 68,41,753 as per the given fractions.

GCF of 68,41,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,89,75

LCM of Fractions 55/68,89/41,75/753 is 73425

5 55, 89, 75
11, 89, 15

∴ So the LCM of the given numbers is 5 x 11 x 89 x 15 = 73425

Least Common Multiple of 55,89,75 with GCF Formula

Least Common Multiple of 55,89,75 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 55,89,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,89,75) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,89,75) x common factors =1 x 5 = 5

LCM(55,89,75) = ( 55 × 89 × 75 ) / 5

LCM(55,89,75) = 367125 / 5

LCM(55,89,75) = 73425


Lets's calculate GCF of 68,41,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73425/1

Therefore the LCM of Fractions 55/68,89/41,75/753 is 73425

Greatest Common Factor of 68,41,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,41,753 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 68,41,753 . The biggest common factor number is the GCF number.
So the greatest common factor 68,41,753 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 55/68, 89/41, 75/753

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 55/68, 89/41, 75/753?

Answer: LCM of Numerators as per given numbers 55/68, 89/41, 75/753 is

LCM of Numerators i.e. for 55,89,75 is 73425

GCF of denominators i.e. for 68,41,753 is 1.

Thus, LCM of Fractions is 73425.Finally, LCM of Fractions for 55/68, 89/41, 75/753 is 73425.