Least Common Multiple of 1682/612, 3097/8004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1682/612, 3097/8004 quickly i.e. 5209154/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1682/612, 3097/8004 is 5209154/12.

LCM(1682/612, 3097/8004) = 5209154/12

LCM of 1682/612, 3097/8004

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 1682/612,3097/8004

Given numbers are 1682/612,3097/8004

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 1682,3097

Least Common Multiple of Numerators i.e. LCM of 1682,3097 is 5209154.

GCF of Denominators means GCF of 612,8004 as per the given fractions.

GCF of 612,8004 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1682,3097

LCM of Fractions 1682/612,3097/8004 is 5209154/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 5209154

Least Common Multiple of 1682,3097 with GCF Formula

Least Common Multiple of 1682,3097 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 1682,3097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1682,3097) = 1

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

GCF(1682,3097) x common factors =1 x 1 = 1

LCM(1682,3097) = ( 1682 × 3097 ) / 1

LCM(1682,3097) = 5209154 / 1

LCM(1682,3097) = 5209154


Lets's calculate GCF of 612,8004

2 612, 8004
2 306, 4002
3 153, 2001
51, 667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5209154/12

Therefore the LCM of Fractions 1682/612,3097/8004 is 5209154/12

Greatest Common Factor of 612,8004 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,8004 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Greatest Common Factor

We found the factors 612,8004 . The biggest common factor number is the GCF number.
So the greatest common factor 612,8004 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 1682/612, 3097/8004

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 1682/612, 3097/8004?

Answer: LCM of Numerators as per given numbers 1682/612, 3097/8004 is

LCM of Numerators i.e. for 1682,3097 is 5209154

GCF of denominators i.e. for 612,8004 is 12.

Thus, LCM of Fractions is 5209154/12.Finally, LCM of Fractions for 1682/612, 3097/8004 is 5209154/12.