Least Common Multiple of 580/846, 9566/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 580/846, 9566/562 quickly i.e. 1387070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/846, 9566/562 is 1387070.

LCM(580/846, 9566/562) = 1387070

LCM of 580/846, 9566/562

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 580/846,9566/562

Given numbers are 580/846,9566/562

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 580,9566

Least Common Multiple of Numerators i.e. LCM of 580,9566 is 2774140.

GCF of Denominators means GCF of 846,562 as per the given fractions.

GCF of 846,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,9566

LCM of Fractions 580/846,9566/562 is 1387070

2 580, 9566
290, 4783

∴ So the LCM of the given numbers is 2 x 290 x 4783 = 2774140

Least Common Multiple of 580,9566 with GCF Formula

Least Common Multiple of 580,9566 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 580,9566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,9566) = 2

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

GCF(580,9566) x common factors =2 x 1 = 2

LCM(580,9566) = ( 580 × 9566 ) / 2

LCM(580,9566) = 5548280 / 2

LCM(580,9566) = 2774140


Lets's calculate GCF of 846,562

2 846, 562
423, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2774140/2

Therefore the LCM of Fractions 580/846,9566/562 is 1387070

Greatest Common Factor of 846,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,562 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 846,562 . The biggest common factor number is the GCF number.
So the greatest common factor 846,562 is 2.


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Frequently Asked Questions on Fractional LCM of 580/846, 9566/562

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 580/846, 9566/562?

Answer: LCM of Numerators as per given numbers 580/846, 9566/562 is

LCM of Numerators i.e. for 580,9566 is 2774140

GCF of denominators i.e. for 846,562 is 2.

Thus, LCM of Fractions is 1387070.Finally, LCM of Fractions for 580/846, 9566/562 is 1387070.