Least Common Multiple of 98/49, 59/93, 96/86, 22/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/49, 59/93, 96/86, 22/513 quickly i.e. 3052896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/49, 59/93, 96/86, 22/513 is 3052896.

LCM(98/49, 59/93, 96/86, 22/513) = 3052896

LCM of 98/49, 59/93, 96/86, 22/513

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 98/49,59/93,96/86,22/513

Given numbers are 98/49,59/93,96/86,22/513

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 98,59,96,22

Least Common Multiple of Numerators i.e. LCM of 98,59,96,22 is 3052896.

GCF of Denominators means GCF of 49,93,86,513 as per the given fractions.

GCF of 49,93,86,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,59,96,22

LCM of Fractions 98/49,59/93,96/86,22/513 is 3052896

2 98, 59, 96, 22
49, 59, 48, 11

∴ So the LCM of the given numbers is 2 x 49 x 59 x 48 x 11 = 3052896

Least Common Multiple of 98,59,96,22 with GCF Formula

Least Common Multiple of 98,59,96,22 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 98,59,96,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,59,96,22) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(98,59,96,22) x common factors =1 x 4 = 4

LCM(98,59,96,22) = ( 98 × 59 × 96 × 22 ) / 4

LCM(98,59,96,22) = 12211584 / 4

LCM(98,59,96,22) = 3052896


Lets's calculate GCF of 49,93,86,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3052896/1

Therefore the LCM of Fractions 98/49,59/93,96/86,22/513 is 3052896

Greatest Common Factor of 49,93,86,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,93,86,513 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 49,93,86,513 . The biggest common factor number is the GCF number.
So the greatest common factor 49,93,86,513 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/49, 59/93, 96/86, 22/513

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 98/49, 59/93, 96/86, 22/513?

Answer: LCM of Numerators as per given numbers 98/49, 59/93, 96/86, 22/513 is

LCM of Numerators i.e. for 98,59,96,22 is 3052896

GCF of denominators i.e. for 49,93,86,513 is 1.

Thus, LCM of Fractions is 3052896.Finally, LCM of Fractions for 98/49, 59/93, 96/86, 22/513 is 3052896.