Least Common Multiple of 52/210, 15/185, 208/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/210, 15/185, 208/205 quickly i.e. 624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/210, 15/185, 208/205 is 624.

LCM(52/210, 15/185, 208/205) = 624

LCM of 52/210, 15/185, 208/205

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 52/210,15/185,208/205

Given numbers are 52/210,15/185,208/205

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 52,15,208

Least Common Multiple of Numerators i.e. LCM of 52,15,208 is 3120.

GCF of Denominators means GCF of 210,185,205 as per the given fractions.

GCF of 210,185,205 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,15,208

LCM of Fractions 52/210,15/185,208/205 is 624

2 52, 15, 208
2 26, 15, 104
13 13, 15, 52
1, 15, 4

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 15 x 4 = 3120

Least Common Multiple of 52,15,208 with GCF Formula

Least Common Multiple of 52,15,208 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 52,15,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,15,208) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(52,15,208) x common factors =1 x 52 = 52

LCM(52,15,208) = ( 52 × 15 × 208 ) / 52

LCM(52,15,208) = 162240 / 52

LCM(52,15,208) = 3120


Lets's calculate GCF of 210,185,205

5 210, 185, 205
42, 37, 41

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3120/5

Therefore the LCM of Fractions 52/210,15/185,208/205 is 624

Greatest Common Factor of 210,185,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,185,205 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 210,185,205 . The biggest common factor number is the GCF number.
So the greatest common factor 210,185,205 is 5.


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 52/210, 15/185, 208/205

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 52/210, 15/185, 208/205?

Answer: LCM of Numerators as per given numbers 52/210, 15/185, 208/205 is

LCM of Numerators i.e. for 52,15,208 is 3120

GCF of denominators i.e. for 210,185,205 is 5.

Thus, LCM of Fractions is 624.Finally, LCM of Fractions for 52/210, 15/185, 208/205 is 624.