Least Common Multiple of 53/312, 6898/9934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/312, 6898/9934 quickly i.e. 182797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/312, 6898/9934 is 182797.

LCM(53/312, 6898/9934) = 182797

LCM of 53/312, 6898/9934

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 53/312,6898/9934

Given numbers are 53/312,6898/9934

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 53,6898

Least Common Multiple of Numerators i.e. LCM of 53,6898 is 365594.

GCF of Denominators means GCF of 312,9934 as per the given fractions.

GCF of 312,9934 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,6898

LCM of Fractions 53/312,6898/9934 is 182797

Given numbers has no common factors except 1. So, there LCM is their product i.e 365594

Least Common Multiple of 53,6898 with GCF Formula

Least Common Multiple of 53,6898 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 53,6898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,6898) = 1

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

GCF(53,6898) x common factors =1 x 1 = 1

LCM(53,6898) = ( 53 × 6898 ) / 1

LCM(53,6898) = 365594 / 1

LCM(53,6898) = 365594


Lets's calculate GCF of 312,9934

2 312, 9934
156, 4967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365594/2

Therefore the LCM of Fractions 53/312,6898/9934 is 182797

Greatest Common Factor of 312,9934 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,9934 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 9934

List of positive integer factors of 9934 that divides 9934 without a remainder.

1,2,4967,9934

Greatest Common Factor

We found the factors 312,9934 . The biggest common factor number is the GCF number.
So the greatest common factor 312,9934 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 53/312, 6898/9934

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 53/312, 6898/9934?

Answer: LCM of Numerators as per given numbers 53/312, 6898/9934 is

LCM of Numerators i.e. for 53,6898 is 365594

GCF of denominators i.e. for 312,9934 is 2.

Thus, LCM of Fractions is 182797.Finally, LCM of Fractions for 53/312, 6898/9934 is 182797.