Least Common Multiple of 456/944, 232/478, 645/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/944, 232/478, 645/890 quickly i.e. 1421580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/944, 232/478, 645/890 is 1421580.

LCM(456/944, 232/478, 645/890) = 1421580

LCM of 456/944, 232/478, 645/890

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 456/944,232/478,645/890

Given numbers are 456/944,232/478,645/890

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 456,232,645

Least Common Multiple of Numerators i.e. LCM of 456,232,645 is 2843160.

GCF of Denominators means GCF of 944,478,890 as per the given fractions.

GCF of 944,478,890 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,232,645

LCM of Fractions 456/944,232/478,645/890 is 1421580

2 456, 232, 645
2 228, 116, 645
2 114, 58, 645
3 57, 29, 645
19, 29, 215

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 29 x 215 = 2843160

Least Common Multiple of 456,232,645 with GCF Formula

Least Common Multiple of 456,232,645 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 456,232,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,232,645) = 1

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

GCF(456,232,645) x common factors =1 x 24 = 24

LCM(456,232,645) = ( 456 × 232 × 645 ) / 24

LCM(456,232,645) = 68235840 / 24

LCM(456,232,645) = 2843160


Lets's calculate GCF of 944,478,890

2 944, 478, 890
472, 239, 445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2843160/2

Therefore the LCM of Fractions 456/944,232/478,645/890 is 1421580

Greatest Common Factor of 944,478,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,478,890 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 944,478,890 . The biggest common factor number is the GCF number.
So the greatest common factor 944,478,890 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 456/944, 232/478, 645/890

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 456/944, 232/478, 645/890?

Answer: LCM of Numerators as per given numbers 456/944, 232/478, 645/890 is

LCM of Numerators i.e. for 456,232,645 is 2843160

GCF of denominators i.e. for 944,478,890 is 2.

Thus, LCM of Fractions is 1421580.Finally, LCM of Fractions for 456/944, 232/478, 645/890 is 1421580.