Least Common Multiple of 738/72, 552/43, 437/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/72, 552/43, 437/284 quickly i.e. 1290024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/72, 552/43, 437/284 is 1290024.

LCM(738/72, 552/43, 437/284) = 1290024

LCM of 738/72, 552/43, 437/284

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 738/72,552/43,437/284

Given numbers are 738/72,552/43,437/284

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 738,552,437

Least Common Multiple of Numerators i.e. LCM of 738,552,437 is 1290024.

GCF of Denominators means GCF of 72,43,284 as per the given fractions.

GCF of 72,43,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,552,437

LCM of Fractions 738/72,552/43,437/284 is 1290024

2 738, 552, 437
3 369, 276, 437
23 123, 92, 437
123, 4, 19

∴ So the LCM of the given numbers is 2 x 3 x 23 x 123 x 4 x 19 = 1290024

Least Common Multiple of 738,552,437 with GCF Formula

Least Common Multiple of 738,552,437 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 738,552,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,552,437) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(738,552,437) x common factors =1 x 138 = 138

LCM(738,552,437) = ( 738 × 552 × 437 ) / 138

LCM(738,552,437) = 178023312 / 138

LCM(738,552,437) = 1290024


Lets's calculate GCF of 72,43,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1290024/1

Therefore the LCM of Fractions 738/72,552/43,437/284 is 1290024

Greatest Common Factor of 72,43,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,43,284 By Matching Biggest Common Factor Method

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 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 72,43,284 . The biggest common factor number is the GCF number.
So the greatest common factor 72,43,284 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 738/72, 552/43, 437/284

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 738/72, 552/43, 437/284?

Answer: LCM of Numerators as per given numbers 738/72, 552/43, 437/284 is

LCM of Numerators i.e. for 738,552,437 is 1290024

GCF of denominators i.e. for 72,43,284 is 1.

Thus, LCM of Fractions is 1290024.Finally, LCM of Fractions for 738/72, 552/43, 437/284 is 1290024.