Least Common Multiple of 900/67, 357/89, 424/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/67, 357/89, 424/368 quickly i.e. 11352600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/67, 357/89, 424/368 is 11352600.

LCM(900/67, 357/89, 424/368) = 11352600

LCM of 900/67, 357/89, 424/368

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 900/67,357/89,424/368

Given numbers are 900/67,357/89,424/368

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 900,357,424

Least Common Multiple of Numerators i.e. LCM of 900,357,424 is 11352600.

GCF of Denominators means GCF of 67,89,368 as per the given fractions.

GCF of 67,89,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,357,424

LCM of Fractions 900/67,357/89,424/368 is 11352600

2 900, 357, 424
2 450, 357, 212
3 225, 357, 106
75, 119, 106

∴ So the LCM of the given numbers is 2 x 2 x 3 x 75 x 119 x 106 = 11352600

Least Common Multiple of 900,357,424 with GCF Formula

Least Common Multiple of 900,357,424 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 900,357,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,357,424) = 1

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

GCF(900,357,424) x common factors =1 x 12 = 12

LCM(900,357,424) = ( 900 × 357 × 424 ) / 12

LCM(900,357,424) = 136231200 / 12

LCM(900,357,424) = 11352600


Lets's calculate GCF of 67,89,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11352600/1

Therefore the LCM of Fractions 900/67,357/89,424/368 is 11352600

Greatest Common Factor of 67,89,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,89,368 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 89

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

1,89

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 67,89,368 . The biggest common factor number is the GCF number.
So the greatest common factor 67,89,368 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 900/67, 357/89, 424/368

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 900/67, 357/89, 424/368?

Answer: LCM of Numerators as per given numbers 900/67, 357/89, 424/368 is

LCM of Numerators i.e. for 900,357,424 is 11352600

GCF of denominators i.e. for 67,89,368 is 1.

Thus, LCM of Fractions is 11352600.Finally, LCM of Fractions for 900/67, 357/89, 424/368 is 11352600.