Least Common Multiple of 628/22, 312/72, 225/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 628/22, 312/72, 225/728 quickly i.e. 1836900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 628/22, 312/72, 225/728 is 1836900.

LCM(628/22, 312/72, 225/728) = 1836900

LCM of 628/22, 312/72, 225/728

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 628/22,312/72,225/728

Given numbers are 628/22,312/72,225/728

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 628,312,225

Least Common Multiple of Numerators i.e. LCM of 628,312,225 is 3673800.

GCF of Denominators means GCF of 22,72,728 as per the given fractions.

GCF of 22,72,728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 628,312,225

LCM of Fractions 628/22,312/72,225/728 is 1836900

2 628, 312, 225
2 314, 156, 225
3 157, 78, 225
157, 26, 75

∴ So the LCM of the given numbers is 2 x 2 x 3 x 157 x 26 x 75 = 3673800

Least Common Multiple of 628,312,225 with GCF Formula

Least Common Multiple of 628,312,225 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 628,312,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,312,225) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(628,312,225) x common factors =1 x 12 = 12

LCM(628,312,225) = ( 628 × 312 × 225 ) / 12

LCM(628,312,225) = 44085600 / 12

LCM(628,312,225) = 3673800


Lets's calculate GCF of 22,72,728

2 22, 72, 728
11, 36, 364

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3673800/2

Therefore the LCM of Fractions 628/22,312/72,225/728 is 1836900

Greatest Common Factor of 22,72,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,72,728 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 22,72,728 . The biggest common factor number is the GCF number.
So the greatest common factor 22,72,728 is 2.


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 628/22, 312/72, 225/728

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 628/22, 312/72, 225/728?

Answer: LCM of Numerators as per given numbers 628/22, 312/72, 225/728 is

LCM of Numerators i.e. for 628,312,225 is 3673800

GCF of denominators i.e. for 22,72,728 is 2.

Thus, LCM of Fractions is 1836900.Finally, LCM of Fractions for 628/22, 312/72, 225/728 is 1836900.