Least Common Multiple of 651/584, 3442/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 651/584, 3442/469 quickly i.e. 2240742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 651/584, 3442/469 is 2240742.

LCM(651/584, 3442/469) = 2240742

LCM of 651/584, 3442/469

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 651/584,3442/469

Given numbers are 651/584,3442/469

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 651,3442

Least Common Multiple of Numerators i.e. LCM of 651,3442 is 2240742.

GCF of Denominators means GCF of 584,469 as per the given fractions.

GCF of 584,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 651,3442

LCM of Fractions 651/584,3442/469 is 2240742

Given numbers has no common factors except 1. So, there LCM is their product i.e 2240742

Least Common Multiple of 651,3442 with GCF Formula

Least Common Multiple of 651,3442 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 651,3442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,3442) = 1

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

GCF(651,3442) x common factors =1 x 1 = 1

LCM(651,3442) = ( 651 × 3442 ) / 1

LCM(651,3442) = 2240742 / 1

LCM(651,3442) = 2240742


Lets's calculate GCF of 584,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2240742/1

Therefore the LCM of Fractions 651/584,3442/469 is 2240742

Greatest Common Factor of 584,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,469 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 584,469 . The biggest common factor number is the GCF number.
So the greatest common factor 584,469 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 651/584, 3442/469

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 651/584, 3442/469?

Answer: LCM of Numerators as per given numbers 651/584, 3442/469 is

LCM of Numerators i.e. for 651,3442 is 2240742

GCF of denominators i.e. for 584,469 is 1.

Thus, LCM of Fractions is 2240742.Finally, LCM of Fractions for 651/584, 3442/469 is 2240742.