Least Common Multiple of 465/76, 555/7052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/76, 555/7052 quickly i.e. 17205/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/76, 555/7052 is 17205/4.

LCM(465/76, 555/7052) = 17205/4

LCM of 465/76, 555/7052

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 465/76,555/7052

Given numbers are 465/76,555/7052

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 465,555

Least Common Multiple of Numerators i.e. LCM of 465,555 is 17205.

GCF of Denominators means GCF of 76,7052 as per the given fractions.

GCF of 76,7052 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,555

LCM of Fractions 465/76,555/7052 is 17205/4

3 465, 555
5 155, 185
31, 37

∴ So the LCM of the given numbers is 3 x 5 x 31 x 37 = 17205

Least Common Multiple of 465,555 with GCF Formula

Least Common Multiple of 465,555 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 465,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,555) = 15

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

GCF(465,555) x common factors =15 x 1 = 15

LCM(465,555) = ( 465 × 555 ) / 15

LCM(465,555) = 258075 / 15

LCM(465,555) = 17205


Lets's calculate GCF of 76,7052

2 76, 7052
2 38, 3526
19, 1763

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17205/4

Therefore the LCM of Fractions 465/76,555/7052 is 17205/4

Greatest Common Factor of 76,7052 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,7052 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 7052

List of positive integer factors of 7052 that divides 7052 without a remainder.

1,2,4,41,43,82,86,164,172,1763,3526,7052

Greatest Common Factor

We found the factors 76,7052 . The biggest common factor number is the GCF number.
So the greatest common factor 76,7052 is 4.


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 465/76, 555/7052

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 465/76, 555/7052?

Answer: LCM of Numerators as per given numbers 465/76, 555/7052 is

LCM of Numerators i.e. for 465,555 is 17205

GCF of denominators i.e. for 76,7052 is 4.

Thus, LCM of Fractions is 17205/4.Finally, LCM of Fractions for 465/76, 555/7052 is 17205/4.