Least Common Multiple of 150/578, 365/224, 448/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/578, 365/224, 448/777 quickly i.e. 2452800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/578, 365/224, 448/777 is 2452800.

LCM(150/578, 365/224, 448/777) = 2452800

LCM of 150/578, 365/224, 448/777

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 150/578,365/224,448/777

Given numbers are 150/578,365/224,448/777

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 150,365,448

Least Common Multiple of Numerators i.e. LCM of 150,365,448 is 2452800.

GCF of Denominators means GCF of 578,224,777 as per the given fractions.

GCF of 578,224,777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,365,448

LCM of Fractions 150/578,365/224,448/777 is 2452800

2 150, 365, 448
5 75, 365, 224
15, 73, 224

∴ So the LCM of the given numbers is 2 x 5 x 15 x 73 x 224 = 2452800

Least Common Multiple of 150,365,448 with GCF Formula

Least Common Multiple of 150,365,448 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 150,365,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,365,448) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(150,365,448) x common factors =1 x 10 = 10

LCM(150,365,448) = ( 150 × 365 × 448 ) / 10

LCM(150,365,448) = 24528000 / 10

LCM(150,365,448) = 2452800


Lets's calculate GCF of 578,224,777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2452800/1

Therefore the LCM of Fractions 150/578,365/224,448/777 is 2452800

Greatest Common Factor of 578,224,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,224,777 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 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 578,224,777 . The biggest common factor number is the GCF number.
So the greatest common factor 578,224,777 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 150/578, 365/224, 448/777

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 150/578, 365/224, 448/777?

Answer: LCM of Numerators as per given numbers 150/578, 365/224, 448/777 is

LCM of Numerators i.e. for 150,365,448 is 2452800

GCF of denominators i.e. for 578,224,777 is 1.

Thus, LCM of Fractions is 2452800.Finally, LCM of Fractions for 150/578, 365/224, 448/777 is 2452800.