Least Common Multiple of 600/70, 412/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/70, 412/306 quickly i.e. 30900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/70, 412/306 is 30900.

LCM(600/70, 412/306) = 30900

LCM of 600/70, 412/306

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 600/70,412/306

Given numbers are 600/70,412/306

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 600,412

Least Common Multiple of Numerators i.e. LCM of 600,412 is 61800.

GCF of Denominators means GCF of 70,306 as per the given fractions.

GCF of 70,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,412

LCM of Fractions 600/70,412/306 is 30900

2 600, 412
2 300, 206
150, 103

∴ So the LCM of the given numbers is 2 x 2 x 150 x 103 = 61800

Least Common Multiple of 600,412 with GCF Formula

Least Common Multiple of 600,412 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 600,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,412) = 4

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

GCF(600,412) x common factors =4 x 1 = 4

LCM(600,412) = ( 600 × 412 ) / 4

LCM(600,412) = 247200 / 4

LCM(600,412) = 61800


Lets's calculate GCF of 70,306

2 70, 306
35, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61800/2

Therefore the LCM of Fractions 600/70,412/306 is 30900

Greatest Common Factor of 70,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,306 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 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

Greatest Common Factor

We found the factors 70,306 . The biggest common factor number is the GCF number.
So the greatest common factor 70,306 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 600/70, 412/306

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 600/70, 412/306?

Answer: LCM of Numerators as per given numbers 600/70, 412/306 is

LCM of Numerators i.e. for 600,412 is 61800

GCF of denominators i.e. for 70,306 is 2.

Thus, LCM of Fractions is 30900.Finally, LCM of Fractions for 600/70, 412/306 is 30900.