Least Common Multiple of 365/304, 790/966, 705/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 365/304, 790/966, 705/783 quickly i.e. 8131470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 365/304, 790/966, 705/783 is 8131470.

LCM(365/304, 790/966, 705/783) = 8131470

LCM of 365/304, 790/966, 705/783

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 365/304,790/966,705/783

Given numbers are 365/304,790/966,705/783

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 365,790,705

Least Common Multiple of Numerators i.e. LCM of 365,790,705 is 8131470.

GCF of Denominators means GCF of 304,966,783 as per the given fractions.

GCF of 304,966,783 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 365,790,705

LCM of Fractions 365/304,790/966,705/783 is 8131470

5 365, 790, 705
73, 158, 141

∴ So the LCM of the given numbers is 5 x 73 x 158 x 141 = 8131470

Least Common Multiple of 365,790,705 with GCF Formula

Least Common Multiple of 365,790,705 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 365,790,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,790,705) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(365,790,705) x common factors =5 x 5 = 25

LCM(365,790,705) = ( 365 × 790 × 705 ) / 25

LCM(365,790,705) = 203286750 / 25

LCM(365,790,705) = 8131470


Lets's calculate GCF of 304,966,783

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8131470/1

Therefore the LCM of Fractions 365/304,790/966,705/783 is 8131470

Greatest Common Factor of 304,966,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,966,783 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 304,966,783 . The biggest common factor number is the GCF number.
So the greatest common factor 304,966,783 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 365/304, 790/966, 705/783

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 365/304, 790/966, 705/783?

Answer: LCM of Numerators as per given numbers 365/304, 790/966, 705/783 is

LCM of Numerators i.e. for 365,790,705 is 8131470

GCF of denominators i.e. for 304,966,783 is 1.

Thus, LCM of Fractions is 8131470.Finally, LCM of Fractions for 365/304, 790/966, 705/783 is 8131470.