Least Common Multiple of 17/210, 6208/1428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/210, 6208/1428 quickly i.e. 105536/42 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/210, 6208/1428 is 105536/42.

LCM(17/210, 6208/1428) = 105536/42

LCM of 17/210, 6208/1428

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 17/210,6208/1428

Given numbers are 17/210,6208/1428

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 17,6208

Least Common Multiple of Numerators i.e. LCM of 17,6208 is 105536.

GCF of Denominators means GCF of 210,1428 as per the given fractions.

GCF of 210,1428 is 42 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,6208

LCM of Fractions 17/210,6208/1428 is 105536/42

Given numbers has no common factors except 1. So, there LCM is their product i.e 105536

Least Common Multiple of 17,6208 with GCF Formula

Least Common Multiple of 17,6208 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 17,6208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,6208) = 1

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

GCF(17,6208) x common factors =1 x 1 = 1

LCM(17,6208) = ( 17 × 6208 ) / 1

LCM(17,6208) = 105536 / 1

LCM(17,6208) = 105536


Lets's calculate GCF of 210,1428

2 210, 1428
3 105, 714
7 35, 238
5, 34

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105536/42

Therefore the LCM of Fractions 17/210,6208/1428 is 105536/42

Greatest Common Factor of 210,1428 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,1428 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 1428

List of positive integer factors of 1428 that divides 1428 without a remainder.

1,2,3,4,6,7,12,14,17,21,28,34,42,51,68,84,102,119,204,238,357,476,714,1428

Greatest Common Factor

We found the factors 210,1428 . The biggest common factor number is the GCF number.
So the greatest common factor 210,1428 is 42.


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 17/210, 6208/1428

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 17/210, 6208/1428?

Answer: LCM of Numerators as per given numbers 17/210, 6208/1428 is

LCM of Numerators i.e. for 17,6208 is 105536

GCF of denominators i.e. for 210,1428 is 42.

Thus, LCM of Fractions is 105536/42.Finally, LCM of Fractions for 17/210, 6208/1428 is 105536/42.