Least Common Multiple of 699/312, 284/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 699/312, 284/208 quickly i.e. 198516/104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/312, 284/208 is 198516/104.

LCM(699/312, 284/208) = 198516/104

LCM of 699/312, 284/208

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 699/312,284/208

Given numbers are 699/312,284/208

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 699,284

Least Common Multiple of Numerators i.e. LCM of 699,284 is 198516.

GCF of Denominators means GCF of 312,208 as per the given fractions.

GCF of 312,208 is 104 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,284

LCM of Fractions 699/312,284/208 is 198516/104

Given numbers has no common factors except 1. So, there LCM is their product i.e 198516

Least Common Multiple of 699,284 with GCF Formula

Least Common Multiple of 699,284 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 699,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,284) = 1

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

GCF(699,284) x common factors =1 x 1 = 1

LCM(699,284) = ( 699 × 284 ) / 1

LCM(699,284) = 198516 / 1

LCM(699,284) = 198516


Lets's calculate GCF of 312,208

2 312, 208
2 156, 104
2 78, 52
13 39, 26
3, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 13 = 104

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198516/104

Therefore the LCM of Fractions 699/312,284/208 is 198516/104

Greatest Common Factor of 312,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,208 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 312,208 . The biggest common factor number is the GCF number.
So the greatest common factor 312,208 is 104.


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 699/312, 284/208

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 699/312, 284/208?

Answer: LCM of Numerators as per given numbers 699/312, 284/208 is

LCM of Numerators i.e. for 699,284 is 198516

GCF of denominators i.e. for 312,208 is 104.

Thus, LCM of Fractions is 198516/104.Finally, LCM of Fractions for 699/312, 284/208 is 198516/104.