Least Common Multiple of 552/39, 642/8464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 552/39, 642/8464 quickly i.e. 59064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 552/39, 642/8464 is 59064.

LCM(552/39, 642/8464) = 59064

LCM of 552/39, 642/8464

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 552/39,642/8464

Given numbers are 552/39,642/8464

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 552,642

Least Common Multiple of Numerators i.e. LCM of 552,642 is 59064.

GCF of Denominators means GCF of 39,8464 as per the given fractions.

GCF of 39,8464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 552,642

LCM of Fractions 552/39,642/8464 is 59064

2 552, 642
3 276, 321
92, 107

∴ So the LCM of the given numbers is 2 x 3 x 92 x 107 = 59064

Least Common Multiple of 552,642 with GCF Formula

Least Common Multiple of 552,642 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 552,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,642) = 6

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

GCF(552,642) x common factors =6 x 1 = 6

LCM(552,642) = ( 552 × 642 ) / 6

LCM(552,642) = 354384 / 6

LCM(552,642) = 59064


Lets's calculate GCF of 39,8464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59064/1

Therefore the LCM of Fractions 552/39,642/8464 is 59064

Greatest Common Factor of 39,8464 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,8464 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 8464

List of positive integer factors of 8464 that divides 8464 without a remainder.

1,2,4,8,16,23,46,92,184,368,529,1058,2116,4232,8464

Greatest Common Factor

We found the factors 39,8464 . The biggest common factor number is the GCF number.
So the greatest common factor 39,8464 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 552/39, 642/8464

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 552/39, 642/8464?

Answer: LCM of Numerators as per given numbers 552/39, 642/8464 is

LCM of Numerators i.e. for 552,642 is 59064

GCF of denominators i.e. for 39,8464 is 1.

Thus, LCM of Fractions is 59064.Finally, LCM of Fractions for 552/39, 642/8464 is 59064.