Least Common Multiple of 753/44, 155/19, 467/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/44, 155/19, 467/89 quickly i.e. 54505905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/44, 155/19, 467/89 is 54505905.

LCM(753/44, 155/19, 467/89) = 54505905

LCM of 753/44, 155/19, 467/89

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 753/44,155/19,467/89

Given numbers are 753/44,155/19,467/89

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 753,155,467

Least Common Multiple of Numerators i.e. LCM of 753,155,467 is 54505905.

GCF of Denominators means GCF of 44,19,89 as per the given fractions.

GCF of 44,19,89 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,155,467

LCM of Fractions 753/44,155/19,467/89 is 54505905

Given numbers has no common factors except 1. So, there LCM is their product i.e 54505905

Least Common Multiple of 753,155,467 with GCF Formula

Least Common Multiple of 753,155,467 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 753,155,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,155,467) = 1

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

GCF(753,155,467) x common factors =1 x 1 = 1

LCM(753,155,467) = ( 753 × 155 × 467 ) / 1

LCM(753,155,467) = 54505905 / 1

LCM(753,155,467) = 54505905


Lets's calculate GCF of 44,19,89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54505905/1

Therefore the LCM of Fractions 753/44,155/19,467/89 is 54505905

Greatest Common Factor of 44,19,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,19,89 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 44,19,89 . The biggest common factor number is the GCF number.
So the greatest common factor 44,19,89 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 753/44, 155/19, 467/89

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 753/44, 155/19, 467/89?

Answer: LCM of Numerators as per given numbers 753/44, 155/19, 467/89 is

LCM of Numerators i.e. for 753,155,467 is 54505905

GCF of denominators i.e. for 44,19,89 is 1.

Thus, LCM of Fractions is 54505905.Finally, LCM of Fractions for 753/44, 155/19, 467/89 is 54505905.