Least Common Multiple of 792/45, 5896/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 792/45, 5896/602 quickly i.e. 53064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 792/45, 5896/602 is 53064.

LCM(792/45, 5896/602) = 53064

LCM of 792/45, 5896/602

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 792/45,5896/602

Given numbers are 792/45,5896/602

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 792,5896

Least Common Multiple of Numerators i.e. LCM of 792,5896 is 53064.

GCF of Denominators means GCF of 45,602 as per the given fractions.

GCF of 45,602 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 792,5896

LCM of Fractions 792/45,5896/602 is 53064

2 792, 5896
2 396, 2948
2 198, 1474
11 99, 737
9, 67

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 9 x 67 = 53064

Least Common Multiple of 792,5896 with GCF Formula

Least Common Multiple of 792,5896 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 792,5896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,5896) = 88

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

GCF(792,5896) x common factors =88 x 1 = 88

LCM(792,5896) = ( 792 × 5896 ) / 88

LCM(792,5896) = 4669632 / 88

LCM(792,5896) = 53064


Lets's calculate GCF of 45,602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53064/1

Therefore the LCM of Fractions 792/45,5896/602 is 53064

Greatest Common Factor of 45,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,602 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 45,602 . The biggest common factor number is the GCF number.
So the greatest common factor 45,602 is 1.


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 792/45, 5896/602

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 792/45, 5896/602?

Answer: LCM of Numerators as per given numbers 792/45, 5896/602 is

LCM of Numerators i.e. for 792,5896 is 53064

GCF of denominators i.e. for 45,602 is 1.

Thus, LCM of Fractions is 53064.Finally, LCM of Fractions for 792/45, 5896/602 is 53064.