Least Common Multiple of 683/616, 834/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 683/616, 834/210 quickly i.e. 569622/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/616, 834/210 is 569622/14.

LCM(683/616, 834/210) = 569622/14

LCM of 683/616, 834/210

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 683/616,834/210

Given numbers are 683/616,834/210

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 683,834

Least Common Multiple of Numerators i.e. LCM of 683,834 is 569622.

GCF of Denominators means GCF of 616,210 as per the given fractions.

GCF of 616,210 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,834

LCM of Fractions 683/616,834/210 is 569622/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 569622

Least Common Multiple of 683,834 with GCF Formula

Least Common Multiple of 683,834 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 683,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,834) = 1

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

GCF(683,834) x common factors =1 x 1 = 1

LCM(683,834) = ( 683 × 834 ) / 1

LCM(683,834) = 569622 / 1

LCM(683,834) = 569622


Lets's calculate GCF of 616,210

2 616, 210
7 308, 105
44, 15

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 569622/14

Therefore the LCM of Fractions 683/616,834/210 is 569622/14

Greatest Common Factor of 616,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,210 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

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

Greatest Common Factor

We found the factors 616,210 . The biggest common factor number is the GCF number.
So the greatest common factor 616,210 is 14.


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 683/616, 834/210

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 683/616, 834/210?

Answer: LCM of Numerators as per given numbers 683/616, 834/210 is

LCM of Numerators i.e. for 683,834 is 569622

GCF of denominators i.e. for 616,210 is 14.

Thus, LCM of Fractions is 569622/14.Finally, LCM of Fractions for 683/616, 834/210 is 569622/14.