Least Common Multiple of 6002/306, 6835/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6002/306, 6835/970 quickly i.e. 20511835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6002/306, 6835/970 is 20511835.

LCM(6002/306, 6835/970) = 20511835

LCM of 6002/306, 6835/970

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 6002/306,6835/970

Given numbers are 6002/306,6835/970

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 6002,6835

Least Common Multiple of Numerators i.e. LCM of 6002,6835 is 41023670.

GCF of Denominators means GCF of 306,970 as per the given fractions.

GCF of 306,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6002,6835

LCM of Fractions 6002/306,6835/970 is 20511835

Given numbers has no common factors except 1. So, there LCM is their product i.e 41023670

Least Common Multiple of 6002,6835 with GCF Formula

Least Common Multiple of 6002,6835 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 6002,6835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6002,6835) = 1

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

GCF(6002,6835) x common factors =1 x 1 = 1

LCM(6002,6835) = ( 6002 × 6835 ) / 1

LCM(6002,6835) = 41023670 / 1

LCM(6002,6835) = 41023670


Lets's calculate GCF of 306,970

2 306, 970
153, 485

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41023670/2

Therefore the LCM of Fractions 6002/306,6835/970 is 20511835

Greatest Common Factor of 306,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,970 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 306,970 . The biggest common factor number is the GCF number.
So the greatest common factor 306,970 is 2.


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 6002/306, 6835/970

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 6002/306, 6835/970?

Answer: LCM of Numerators as per given numbers 6002/306, 6835/970 is

LCM of Numerators i.e. for 6002,6835 is 41023670

GCF of denominators i.e. for 306,970 is 2.

Thus, LCM of Fractions is 20511835.Finally, LCM of Fractions for 6002/306, 6835/970 is 20511835.