Least Common Multiple of 806/308, 6958/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 806/308, 6958/990 quickly i.e. 2804074/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 806/308, 6958/990 is 2804074/22.

LCM(806/308, 6958/990) = 2804074/22

LCM of 806/308, 6958/990

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 806/308,6958/990

Given numbers are 806/308,6958/990

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 806,6958

Least Common Multiple of Numerators i.e. LCM of 806,6958 is 2804074.

GCF of Denominators means GCF of 308,990 as per the given fractions.

GCF of 308,990 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 806,6958

LCM of Fractions 806/308,6958/990 is 2804074/22

2 806, 6958
403, 3479

∴ So the LCM of the given numbers is 2 x 403 x 3479 = 2804074

Least Common Multiple of 806,6958 with GCF Formula

Least Common Multiple of 806,6958 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 806,6958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,6958) = 2

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

GCF(806,6958) x common factors =2 x 1 = 2

LCM(806,6958) = ( 806 × 6958 ) / 2

LCM(806,6958) = 5608148 / 2

LCM(806,6958) = 2804074


Lets's calculate GCF of 308,990

2 308, 990
11 154, 495
14, 45

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2804074/22

Therefore the LCM of Fractions 806/308,6958/990 is 2804074/22

Greatest Common Factor of 308,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,990 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 308,990 . The biggest common factor number is the GCF number.
So the greatest common factor 308,990 is 22.


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 806/308, 6958/990

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 806/308, 6958/990?

Answer: LCM of Numerators as per given numbers 806/308, 6958/990 is

LCM of Numerators i.e. for 806,6958 is 2804074

GCF of denominators i.e. for 308,990 is 22.

Thus, LCM of Fractions is 2804074/22.Finally, LCM of Fractions for 806/308, 6958/990 is 2804074/22.