Least Common Multiple of 5820/62, 3422/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5820/62, 3422/728 quickly i.e. 4979010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5820/62, 3422/728 is 4979010.

LCM(5820/62, 3422/728) = 4979010

LCM of 5820/62, 3422/728

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 5820/62,3422/728

Given numbers are 5820/62,3422/728

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 5820,3422

Least Common Multiple of Numerators i.e. LCM of 5820,3422 is 9958020.

GCF of Denominators means GCF of 62,728 as per the given fractions.

GCF of 62,728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5820,3422

LCM of Fractions 5820/62,3422/728 is 4979010

2 5820, 3422
2910, 1711

∴ So the LCM of the given numbers is 2 x 2910 x 1711 = 9958020

Least Common Multiple of 5820,3422 with GCF Formula

Least Common Multiple of 5820,3422 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 5820,3422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5820,3422) = 2

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

GCF(5820,3422) x common factors =2 x 1 = 2

LCM(5820,3422) = ( 5820 × 3422 ) / 2

LCM(5820,3422) = 19916040 / 2

LCM(5820,3422) = 9958020


Lets's calculate GCF of 62,728

2 62, 728
31, 364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9958020/2

Therefore the LCM of Fractions 5820/62,3422/728 is 4979010

Greatest Common Factor of 62,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,728 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 62,728 . The biggest common factor number is the GCF number.
So the greatest common factor 62,728 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5820/62, 3422/728

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 5820/62, 3422/728?

Answer: LCM of Numerators as per given numbers 5820/62, 3422/728 is

LCM of Numerators i.e. for 5820,3422 is 9958020

GCF of denominators i.e. for 62,728 is 2.

Thus, LCM of Fractions is 4979010.Finally, LCM of Fractions for 5820/62, 3422/728 is 4979010.