Least Common Multiple of 456/225, 344/734, 639/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/225, 344/734, 639/306 quickly i.e. 4176504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/225, 344/734, 639/306 is 4176504.

LCM(456/225, 344/734, 639/306) = 4176504

LCM of 456/225, 344/734, 639/306

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 456/225,344/734,639/306

Given numbers are 456/225,344/734,639/306

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 456,344,639

Least Common Multiple of Numerators i.e. LCM of 456,344,639 is 4176504.

GCF of Denominators means GCF of 225,734,306 as per the given fractions.

GCF of 225,734,306 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,344,639

LCM of Fractions 456/225,344/734,639/306 is 4176504

2 456, 344, 639
2 228, 172, 639
2 114, 86, 639
3 57, 43, 639
19, 43, 213

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 43 x 213 = 4176504

Least Common Multiple of 456,344,639 with GCF Formula

Least Common Multiple of 456,344,639 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 456,344,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,344,639) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(456,344,639) x common factors =1 x 24 = 24

LCM(456,344,639) = ( 456 × 344 × 639 ) / 24

LCM(456,344,639) = 100236096 / 24

LCM(456,344,639) = 4176504


Lets's calculate GCF of 225,734,306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4176504/1

Therefore the LCM of Fractions 456/225,344/734,639/306 is 4176504

Greatest Common Factor of 225,734,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,734,306 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 225,734,306 . The biggest common factor number is the GCF number.
So the greatest common factor 225,734,306 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 456/225, 344/734, 639/306

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 456/225, 344/734, 639/306?

Answer: LCM of Numerators as per given numbers 456/225, 344/734, 639/306 is

LCM of Numerators i.e. for 456,344,639 is 4176504

GCF of denominators i.e. for 225,734,306 is 1.

Thus, LCM of Fractions is 4176504.Finally, LCM of Fractions for 456/225, 344/734, 639/306 is 4176504.