Least Common Multiple of 36/578, 69/113, 455/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/578, 69/113, 455/716 quickly i.e. 376740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/578, 69/113, 455/716 is 376740.

LCM(36/578, 69/113, 455/716) = 376740

LCM of 36/578, 69/113, 455/716

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 36/578,69/113,455/716

Given numbers are 36/578,69/113,455/716

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 36,69,455

Least Common Multiple of Numerators i.e. LCM of 36,69,455 is 376740.

GCF of Denominators means GCF of 578,113,716 as per the given fractions.

GCF of 578,113,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,69,455

LCM of Fractions 36/578,69/113,455/716 is 376740

3 36, 69, 455
12, 23, 455

∴ So the LCM of the given numbers is 3 x 12 x 23 x 455 = 376740

Least Common Multiple of 36,69,455 with GCF Formula

Least Common Multiple of 36,69,455 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 36,69,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,69,455) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(36,69,455) x common factors =1 x 3 = 3

LCM(36,69,455) = ( 36 × 69 × 455 ) / 3

LCM(36,69,455) = 1130220 / 3

LCM(36,69,455) = 376740


Lets's calculate GCF of 578,113,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376740/1

Therefore the LCM of Fractions 36/578,69/113,455/716 is 376740

Greatest Common Factor of 578,113,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,113,716 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 578,113,716 . The biggest common factor number is the GCF number.
So the greatest common factor 578,113,716 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 36/578, 69/113, 455/716

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 36/578, 69/113, 455/716?

Answer: LCM of Numerators as per given numbers 36/578, 69/113, 455/716 is

LCM of Numerators i.e. for 36,69,455 is 376740

GCF of denominators i.e. for 578,113,716 is 1.

Thus, LCM of Fractions is 376740.Finally, LCM of Fractions for 36/578, 69/113, 455/716 is 376740.