Least Common Multiple of 330/715, 306/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/715, 306/770 quickly i.e. 306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/715, 306/770 is 306.

LCM(330/715, 306/770) = 306

LCM of 330/715, 306/770

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 330/715,306/770

Given numbers are 330/715,306/770

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 330,306

Least Common Multiple of Numerators i.e. LCM of 330,306 is 16830.

GCF of Denominators means GCF of 715,770 as per the given fractions.

GCF of 715,770 is 55 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,306

LCM of Fractions 330/715,306/770 is 306

2 330, 306
3 165, 153
55, 51

∴ So the LCM of the given numbers is 2 x 3 x 55 x 51 = 16830

Least Common Multiple of 330,306 with GCF Formula

Least Common Multiple of 330,306 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 330,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,306) = 6

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

GCF(330,306) x common factors =6 x 1 = 6

LCM(330,306) = ( 330 × 306 ) / 6

LCM(330,306) = 100980 / 6

LCM(330,306) = 16830


Lets's calculate GCF of 715,770

5 715, 770
11 143, 154
13, 14

∴ So the GCF of the given numbers is 5 x 11 = 55

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16830/55

Therefore the LCM of Fractions 330/715,306/770 is 306

Greatest Common Factor of 715,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,770 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 715,770 . The biggest common factor number is the GCF number.
So the greatest common factor 715,770 is 55.


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 330/715, 306/770

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 330/715, 306/770?

Answer: LCM of Numerators as per given numbers 330/715, 306/770 is

LCM of Numerators i.e. for 330,306 is 16830

GCF of denominators i.e. for 715,770 is 55.

Thus, LCM of Fractions is 306.Finally, LCM of Fractions for 330/715, 306/770 is 306.