Least Common Multiple of 52/45, 70/58, 205/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/45, 70/58, 205/892 quickly i.e. 74620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/45, 70/58, 205/892 is 74620.

LCM(52/45, 70/58, 205/892) = 74620

LCM of 52/45, 70/58, 205/892

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 52/45,70/58,205/892

Given numbers are 52/45,70/58,205/892

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 52,70,205

Least Common Multiple of Numerators i.e. LCM of 52,70,205 is 74620.

GCF of Denominators means GCF of 45,58,892 as per the given fractions.

GCF of 45,58,892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,70,205

LCM of Fractions 52/45,70/58,205/892 is 74620

2 52, 70, 205
5 26, 35, 205
26, 7, 41

∴ So the LCM of the given numbers is 2 x 5 x 26 x 7 x 41 = 74620

Least Common Multiple of 52,70,205 with GCF Formula

Least Common Multiple of 52,70,205 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 52,70,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,70,205) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(52,70,205) x common factors =1 x 10 = 10

LCM(52,70,205) = ( 52 × 70 × 205 ) / 10

LCM(52,70,205) = 746200 / 10

LCM(52,70,205) = 74620


Lets's calculate GCF of 45,58,892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74620/1

Therefore the LCM of Fractions 52/45,70/58,205/892 is 74620

Greatest Common Factor of 45,58,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,58,892 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 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 45,58,892 . The biggest common factor number is the GCF number.
So the greatest common factor 45,58,892 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 52/45, 70/58, 205/892

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 52/45, 70/58, 205/892?

Answer: LCM of Numerators as per given numbers 52/45, 70/58, 205/892 is

LCM of Numerators i.e. for 52,70,205 is 74620

GCF of denominators i.e. for 45,58,892 is 1.

Thus, LCM of Fractions is 74620.Finally, LCM of Fractions for 52/45, 70/58, 205/892 is 74620.