Least Common Multiple of 714/333, 393/361, 416/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/333, 393/361, 416/767 quickly i.e. 19455072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/333, 393/361, 416/767 is 19455072.

LCM(714/333, 393/361, 416/767) = 19455072

LCM of 714/333, 393/361, 416/767

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 714/333,393/361,416/767

Given numbers are 714/333,393/361,416/767

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 714,393,416

Least Common Multiple of Numerators i.e. LCM of 714,393,416 is 19455072.

GCF of Denominators means GCF of 333,361,767 as per the given fractions.

GCF of 333,361,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,393,416

LCM of Fractions 714/333,393/361,416/767 is 19455072

2 714, 393, 416
3 357, 393, 208
119, 131, 208

∴ So the LCM of the given numbers is 2 x 3 x 119 x 131 x 208 = 19455072

Least Common Multiple of 714,393,416 with GCF Formula

Least Common Multiple of 714,393,416 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 714,393,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,393,416) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(714,393,416) x common factors =1 x 6 = 6

LCM(714,393,416) = ( 714 × 393 × 416 ) / 6

LCM(714,393,416) = 116730432 / 6

LCM(714,393,416) = 19455072


Lets's calculate GCF of 333,361,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19455072/1

Therefore the LCM of Fractions 714/333,393/361,416/767 is 19455072

Greatest Common Factor of 333,361,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,361,767 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 333,361,767 . The biggest common factor number is the GCF number.
So the greatest common factor 333,361,767 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 714/333, 393/361, 416/767

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 714/333, 393/361, 416/767?

Answer: LCM of Numerators as per given numbers 714/333, 393/361, 416/767 is

LCM of Numerators i.e. for 714,393,416 is 19455072

GCF of denominators i.e. for 333,361,767 is 1.

Thus, LCM of Fractions is 19455072.Finally, LCM of Fractions for 714/333, 393/361, 416/767 is 19455072.