Least Common Multiple of 765/658, 362/752, 399/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/658, 362/752, 399/987 quickly i.e. 36831690/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/658, 362/752, 399/987 is 36831690/47.

LCM(765/658, 362/752, 399/987) = 36831690/47

LCM of 765/658, 362/752, 399/987

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 765/658,362/752,399/987

Given numbers are 765/658,362/752,399/987

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 765,362,399

Least Common Multiple of Numerators i.e. LCM of 765,362,399 is 36831690.

GCF of Denominators means GCF of 658,752,987 as per the given fractions.

GCF of 658,752,987 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,362,399

LCM of Fractions 765/658,362/752,399/987 is 36831690/47

3 765, 362, 399
255, 362, 133

∴ So the LCM of the given numbers is 3 x 255 x 362 x 133 = 36831690

Least Common Multiple of 765,362,399 with GCF Formula

Least Common Multiple of 765,362,399 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 765,362,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,362,399) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(765,362,399) x common factors =1 x 3 = 3

LCM(765,362,399) = ( 765 × 362 × 399 ) / 3

LCM(765,362,399) = 110495070 / 3

LCM(765,362,399) = 36831690


Lets's calculate GCF of 658,752,987

47 658, 752, 987
14, 16, 21

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36831690/47

Therefore the LCM of Fractions 765/658,362/752,399/987 is 36831690/47

Greatest Common Factor of 658,752,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,752,987 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 658,752,987 . The biggest common factor number is the GCF number.
So the greatest common factor 658,752,987 is 47.


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 765/658, 362/752, 399/987

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 765/658, 362/752, 399/987?

Answer: LCM of Numerators as per given numbers 765/658, 362/752, 399/987 is

LCM of Numerators i.e. for 765,362,399 is 36831690

GCF of denominators i.e. for 658,752,987 is 47.

Thus, LCM of Fractions is 36831690/47.Finally, LCM of Fractions for 765/658, 362/752, 399/987 is 36831690/47.