Least Common Multiple of 6434/928, 3023/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6434/928, 3023/458 quickly i.e. 9724991 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6434/928, 3023/458 is 9724991.

LCM(6434/928, 3023/458) = 9724991

LCM of 6434/928, 3023/458

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 6434/928,3023/458

Given numbers are 6434/928,3023/458

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 6434,3023

Least Common Multiple of Numerators i.e. LCM of 6434,3023 is 19449982.

GCF of Denominators means GCF of 928,458 as per the given fractions.

GCF of 928,458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6434,3023

LCM of Fractions 6434/928,3023/458 is 9724991

Given numbers has no common factors except 1. So, there LCM is their product i.e 19449982

Least Common Multiple of 6434,3023 with GCF Formula

Least Common Multiple of 6434,3023 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 6434,3023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6434,3023) = 1

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

GCF(6434,3023) x common factors =1 x 1 = 1

LCM(6434,3023) = ( 6434 × 3023 ) / 1

LCM(6434,3023) = 19449982 / 1

LCM(6434,3023) = 19449982


Lets's calculate GCF of 928,458

2 928, 458
464, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19449982/2

Therefore the LCM of Fractions 6434/928,3023/458 is 9724991

Greatest Common Factor of 928,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,458 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 928,458 . The biggest common factor number is the GCF number.
So the greatest common factor 928,458 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 6434/928, 3023/458

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 6434/928, 3023/458?

Answer: LCM of Numerators as per given numbers 6434/928, 3023/458 is

LCM of Numerators i.e. for 6434,3023 is 19449982

GCF of denominators i.e. for 928,458 is 2.

Thus, LCM of Fractions is 9724991.Finally, LCM of Fractions for 6434/928, 3023/458 is 9724991.