Least Common Multiple of 4564/251, 1794/3469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4564/251, 1794/3469 quickly i.e. 4093908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4564/251, 1794/3469 is 4093908.

LCM(4564/251, 1794/3469) = 4093908

LCM of 4564/251, 1794/3469

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 4564/251,1794/3469

Given numbers are 4564/251,1794/3469

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 4564,1794

Least Common Multiple of Numerators i.e. LCM of 4564,1794 is 4093908.

GCF of Denominators means GCF of 251,3469 as per the given fractions.

GCF of 251,3469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4564,1794

LCM of Fractions 4564/251,1794/3469 is 4093908

2 4564, 1794
2282, 897

∴ So the LCM of the given numbers is 2 x 2282 x 897 = 4093908

Least Common Multiple of 4564,1794 with GCF Formula

Least Common Multiple of 4564,1794 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 4564,1794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4564,1794) = 2

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

GCF(4564,1794) x common factors =2 x 1 = 2

LCM(4564,1794) = ( 4564 × 1794 ) / 2

LCM(4564,1794) = 8187816 / 2

LCM(4564,1794) = 4093908


Lets's calculate GCF of 251,3469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4093908/1

Therefore the LCM of Fractions 4564/251,1794/3469 is 4093908

Greatest Common Factor of 251,3469 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,3469 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 3469

List of positive integer factors of 3469 that divides 3469 without a remainder.

1,3469

Greatest Common Factor

We found the factors 251,3469 . The biggest common factor number is the GCF number.
So the greatest common factor 251,3469 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4564/251, 1794/3469

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 4564/251, 1794/3469?

Answer: LCM of Numerators as per given numbers 4564/251, 1794/3469 is

LCM of Numerators i.e. for 4564,1794 is 4093908

GCF of denominators i.e. for 251,3469 is 1.

Thus, LCM of Fractions is 4093908.Finally, LCM of Fractions for 4564/251, 1794/3469 is 4093908.