Least Common Multiple of 4384/890, 7086/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4384/890, 7086/456 quickly i.e. 7766256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4384/890, 7086/456 is 7766256.

LCM(4384/890, 7086/456) = 7766256

LCM of 4384/890, 7086/456

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 4384/890,7086/456

Given numbers are 4384/890,7086/456

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 4384,7086

Least Common Multiple of Numerators i.e. LCM of 4384,7086 is 15532512.

GCF of Denominators means GCF of 890,456 as per the given fractions.

GCF of 890,456 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4384,7086

LCM of Fractions 4384/890,7086/456 is 7766256

2 4384, 7086
2192, 3543

∴ So the LCM of the given numbers is 2 x 2192 x 3543 = 15532512

Least Common Multiple of 4384,7086 with GCF Formula

Least Common Multiple of 4384,7086 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 4384,7086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4384,7086) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(4384,7086) x common factors =2 x 1 = 2

LCM(4384,7086) = ( 4384 × 7086 ) / 2

LCM(4384,7086) = 31065024 / 2

LCM(4384,7086) = 15532512


Lets's calculate GCF of 890,456

2 890, 456
445, 228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15532512/2

Therefore the LCM of Fractions 4384/890,7086/456 is 7766256

Greatest Common Factor of 890,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,456 By Matching Biggest Common Factor Method

Factors of 890

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

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

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

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

Greatest Common Factor

We found the factors 890,456 . The biggest common factor number is the GCF number.
So the greatest common factor 890,456 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 4384/890, 7086/456

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 4384/890, 7086/456?

Answer: LCM of Numerators as per given numbers 4384/890, 7086/456 is

LCM of Numerators i.e. for 4384,7086 is 15532512

GCF of denominators i.e. for 890,456 is 2.

Thus, LCM of Fractions is 7766256.Finally, LCM of Fractions for 4384/890, 7086/456 is 7766256.