Least Common Multiple of 98/405, 7812/5920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/405, 7812/5920 quickly i.e. 54684/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/405, 7812/5920 is 54684/5.

LCM(98/405, 7812/5920) = 54684/5

LCM of 98/405, 7812/5920

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 98/405,7812/5920

Given numbers are 98/405,7812/5920

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 98,7812

Least Common Multiple of Numerators i.e. LCM of 98,7812 is 54684.

GCF of Denominators means GCF of 405,5920 as per the given fractions.

GCF of 405,5920 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,7812

LCM of Fractions 98/405,7812/5920 is 54684/5

2 98, 7812
7 49, 3906
7, 558

∴ So the LCM of the given numbers is 2 x 7 x 7 x 558 = 54684

Least Common Multiple of 98,7812 with GCF Formula

Least Common Multiple of 98,7812 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 98,7812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,7812) = 14

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

GCF(98,7812) x common factors =14 x 1 = 14

LCM(98,7812) = ( 98 × 7812 ) / 14

LCM(98,7812) = 765576 / 14

LCM(98,7812) = 54684


Lets's calculate GCF of 405,5920

5 405, 5920
81, 1184

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54684/5

Therefore the LCM of Fractions 98/405,7812/5920 is 54684/5

Greatest Common Factor of 405,5920 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,5920 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 5920

List of positive integer factors of 5920 that divides 5920 without a remainder.

1,2,4,5,8,10,16,20,32,37,40,74,80,148,160,185,296,370,592,740,1184,1480,2960,5920

Greatest Common Factor

We found the factors 405,5920 . The biggest common factor number is the GCF number.
So the greatest common factor 405,5920 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/405, 7812/5920

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 98/405, 7812/5920?

Answer: LCM of Numerators as per given numbers 98/405, 7812/5920 is

LCM of Numerators i.e. for 98,7812 is 54684

GCF of denominators i.e. for 405,5920 is 5.

Thus, LCM of Fractions is 54684/5.Finally, LCM of Fractions for 98/405, 7812/5920 is 54684/5.