Least Common Multiple of 782/333, 451/707, 391/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/333, 451/707, 391/989 quickly i.e. 352682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/333, 451/707, 391/989 is 352682.

LCM(782/333, 451/707, 391/989) = 352682

LCM of 782/333, 451/707, 391/989

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 782/333,451/707,391/989

Given numbers are 782/333,451/707,391/989

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 782,451,391

Least Common Multiple of Numerators i.e. LCM of 782,451,391 is 352682.

GCF of Denominators means GCF of 333,707,989 as per the given fractions.

GCF of 333,707,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,451,391

LCM of Fractions 782/333,451/707,391/989 is 352682

17 782, 451, 391
23 46, 451, 23
2, 451, 1

∴ So the LCM of the given numbers is 17 x 23 x 2 x 451 x 1 = 352682

Least Common Multiple of 782,451,391 with GCF Formula

Least Common Multiple of 782,451,391 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 782,451,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,451,391) = 1

common factors(in case of two or more numbers have common factors) = 391

GCF(782,451,391) x common factors =1 x 391 = 391

LCM(782,451,391) = ( 782 × 451 × 391 ) / 391

LCM(782,451,391) = 137898662 / 391

LCM(782,451,391) = 352682


Lets's calculate GCF of 333,707,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 352682/1

Therefore the LCM of Fractions 782/333,451/707,391/989 is 352682

Greatest Common Factor of 333,707,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,707,989 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 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 333,707,989 . The biggest common factor number is the GCF number.
So the greatest common factor 333,707,989 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 782/333, 451/707, 391/989

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 782/333, 451/707, 391/989?

Answer: LCM of Numerators as per given numbers 782/333, 451/707, 391/989 is

LCM of Numerators i.e. for 782,451,391 is 352682

GCF of denominators i.e. for 333,707,989 is 1.

Thus, LCM of Fractions is 352682.Finally, LCM of Fractions for 782/333, 451/707, 391/989 is 352682.