Least Common Multiple of 1437/496, 6799/9920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1437/496, 6799/9920 quickly i.e. 9770163/496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1437/496, 6799/9920 is 9770163/496.

LCM(1437/496, 6799/9920) = 9770163/496

LCM of 1437/496, 6799/9920

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 1437/496,6799/9920

Given numbers are 1437/496,6799/9920

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 1437,6799

Least Common Multiple of Numerators i.e. LCM of 1437,6799 is 9770163.

GCF of Denominators means GCF of 496,9920 as per the given fractions.

GCF of 496,9920 is 496 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1437,6799

LCM of Fractions 1437/496,6799/9920 is 9770163/496

Given numbers has no common factors except 1. So, there LCM is their product i.e 9770163

Least Common Multiple of 1437,6799 with GCF Formula

Least Common Multiple of 1437,6799 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 1437,6799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1437,6799) = 1

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

GCF(1437,6799) x common factors =1 x 1 = 1

LCM(1437,6799) = ( 1437 × 6799 ) / 1

LCM(1437,6799) = 9770163 / 1

LCM(1437,6799) = 9770163


Lets's calculate GCF of 496,9920

2 496, 9920
2 248, 4960
2 124, 2480
2 62, 1240
31 31, 620
1, 20

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 31 = 496

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9770163/496

Therefore the LCM of Fractions 1437/496,6799/9920 is 9770163/496

Greatest Common Factor of 496,9920 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,9920 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 9920

List of positive integer factors of 9920 that divides 9920 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920

Greatest Common Factor

We found the factors 496,9920 . The biggest common factor number is the GCF number.
So the greatest common factor 496,9920 is 496.


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 1437/496, 6799/9920

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 1437/496, 6799/9920?

Answer: LCM of Numerators as per given numbers 1437/496, 6799/9920 is

LCM of Numerators i.e. for 1437,6799 is 9770163

GCF of denominators i.e. for 496,9920 is 496.

Thus, LCM of Fractions is 9770163/496.Finally, LCM of Fractions for 1437/496, 6799/9920 is 9770163/496.