Least Common Multiple of 67/572, 450/168, 192/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/572, 450/168, 192/912 quickly i.e. 241200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/572, 450/168, 192/912 is 241200.

LCM(67/572, 450/168, 192/912) = 241200

LCM of 67/572, 450/168, 192/912

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 67/572,450/168,192/912

Given numbers are 67/572,450/168,192/912

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 67,450,192

Least Common Multiple of Numerators i.e. LCM of 67,450,192 is 964800.

GCF of Denominators means GCF of 572,168,912 as per the given fractions.

GCF of 572,168,912 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,450,192

LCM of Fractions 67/572,450/168,192/912 is 241200

2 67, 450, 192
3 67, 225, 96
67, 75, 32

∴ So the LCM of the given numbers is 2 x 3 x 67 x 75 x 32 = 964800

Least Common Multiple of 67,450,192 with GCF Formula

Least Common Multiple of 67,450,192 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 67,450,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,450,192) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(67,450,192) x common factors =1 x 6 = 6

LCM(67,450,192) = ( 67 × 450 × 192 ) / 6

LCM(67,450,192) = 5788800 / 6

LCM(67,450,192) = 964800


Lets's calculate GCF of 572,168,912

2 572, 168, 912
2 286, 84, 456
143, 42, 228

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 964800/4

Therefore the LCM of Fractions 67/572,450/168,192/912 is 241200

Greatest Common Factor of 572,168,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,168,912 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 572,168,912 . The biggest common factor number is the GCF number.
So the greatest common factor 572,168,912 is 4.


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 67/572, 450/168, 192/912

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 67/572, 450/168, 192/912?

Answer: LCM of Numerators as per given numbers 67/572, 450/168, 192/912 is

LCM of Numerators i.e. for 67,450,192 is 964800

GCF of denominators i.e. for 572,168,912 is 4.

Thus, LCM of Fractions is 241200.Finally, LCM of Fractions for 67/572, 450/168, 192/912 is 241200.