Least Common Multiple of 17/804, 6988/8208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/804, 6988/8208 quickly i.e. 118796/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/804, 6988/8208 is 118796/12.

LCM(17/804, 6988/8208) = 118796/12

LCM of 17/804, 6988/8208

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 17/804,6988/8208

Given numbers are 17/804,6988/8208

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 17,6988

Least Common Multiple of Numerators i.e. LCM of 17,6988 is 118796.

GCF of Denominators means GCF of 804,8208 as per the given fractions.

GCF of 804,8208 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,6988

LCM of Fractions 17/804,6988/8208 is 118796/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 118796

Least Common Multiple of 17,6988 with GCF Formula

Least Common Multiple of 17,6988 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 17,6988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,6988) = 1

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

GCF(17,6988) x common factors =1 x 1 = 1

LCM(17,6988) = ( 17 × 6988 ) / 1

LCM(17,6988) = 118796 / 1

LCM(17,6988) = 118796


Lets's calculate GCF of 804,8208

2 804, 8208
2 402, 4104
3 201, 2052
67, 684

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118796/12

Therefore the LCM of Fractions 17/804,6988/8208 is 118796/12

Greatest Common Factor of 804,8208 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,8208 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 8208

List of positive integer factors of 8208 that divides 8208 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208

Greatest Common Factor

We found the factors 804,8208 . The biggest common factor number is the GCF number.
So the greatest common factor 804,8208 is 12.


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 17/804, 6988/8208

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 17/804, 6988/8208?

Answer: LCM of Numerators as per given numbers 17/804, 6988/8208 is

LCM of Numerators i.e. for 17,6988 is 118796

GCF of denominators i.e. for 804,8208 is 12.

Thus, LCM of Fractions is 118796/12.Finally, LCM of Fractions for 17/804, 6988/8208 is 118796/12.