Least Common Multiple of 300/70, 866/1006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/70, 866/1006 quickly i.e. 64950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/70, 866/1006 is 64950.

LCM(300/70, 866/1006) = 64950

LCM of 300/70, 866/1006

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 300/70,866/1006

Given numbers are 300/70,866/1006

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 300,866

Least Common Multiple of Numerators i.e. LCM of 300,866 is 129900.

GCF of Denominators means GCF of 70,1006 as per the given fractions.

GCF of 70,1006 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,866

LCM of Fractions 300/70,866/1006 is 64950

2 300, 866
150, 433

∴ So the LCM of the given numbers is 2 x 150 x 433 = 129900

Least Common Multiple of 300,866 with GCF Formula

Least Common Multiple of 300,866 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 300,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,866) = 2

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

GCF(300,866) x common factors =2 x 1 = 2

LCM(300,866) = ( 300 × 866 ) / 2

LCM(300,866) = 259800 / 2

LCM(300,866) = 129900


Lets's calculate GCF of 70,1006

2 70, 1006
35, 503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129900/2

Therefore the LCM of Fractions 300/70,866/1006 is 64950

Greatest Common Factor of 70,1006 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,1006 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 1006

List of positive integer factors of 1006 that divides 1006 without a remainder.

1,2,503,1006

Greatest Common Factor

We found the factors 70,1006 . The biggest common factor number is the GCF number.
So the greatest common factor 70,1006 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 300/70, 866/1006

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 300/70, 866/1006?

Answer: LCM of Numerators as per given numbers 300/70, 866/1006 is

LCM of Numerators i.e. for 300,866 is 129900

GCF of denominators i.e. for 70,1006 is 2.

Thus, LCM of Fractions is 64950.Finally, LCM of Fractions for 300/70, 866/1006 is 64950.