Least Common Multiple of 214/999, 765/718, 367/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/999, 765/718, 367/770 quickly i.e. 60081570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/999, 765/718, 367/770 is 60081570.

LCM(214/999, 765/718, 367/770) = 60081570

LCM of 214/999, 765/718, 367/770

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 214/999,765/718,367/770

Given numbers are 214/999,765/718,367/770

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 214,765,367

Least Common Multiple of Numerators i.e. LCM of 214,765,367 is 60081570.

GCF of Denominators means GCF of 999,718,770 as per the given fractions.

GCF of 999,718,770 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,765,367

LCM of Fractions 214/999,765/718,367/770 is 60081570

Given numbers has no common factors except 1. So, there LCM is their product i.e 60081570

Least Common Multiple of 214,765,367 with GCF Formula

Least Common Multiple of 214,765,367 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 214,765,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,765,367) = 1

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

GCF(214,765,367) x common factors =1 x 1 = 1

LCM(214,765,367) = ( 214 × 765 × 367 ) / 1

LCM(214,765,367) = 60081570 / 1

LCM(214,765,367) = 60081570


Lets's calculate GCF of 999,718,770

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60081570/1

Therefore the LCM of Fractions 214/999,765/718,367/770 is 60081570

Greatest Common Factor of 999,718,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,718,770 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

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 999,718,770 . The biggest common factor number is the GCF number.
So the greatest common factor 999,718,770 is 1.


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 214/999, 765/718, 367/770

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 214/999, 765/718, 367/770?

Answer: LCM of Numerators as per given numbers 214/999, 765/718, 367/770 is

LCM of Numerators i.e. for 214,765,367 is 60081570

GCF of denominators i.e. for 999,718,770 is 1.

Thus, LCM of Fractions is 60081570.Finally, LCM of Fractions for 214/999, 765/718, 367/770 is 60081570.