Least Common Multiple of 483/31, 207/29, 796/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 483/31, 207/29, 796/645 quickly i.e. 1153404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 483/31, 207/29, 796/645 is 1153404.

LCM(483/31, 207/29, 796/645) = 1153404

LCM of 483/31, 207/29, 796/645

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 483/31,207/29,796/645

Given numbers are 483/31,207/29,796/645

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 483,207,796

Least Common Multiple of Numerators i.e. LCM of 483,207,796 is 1153404.

GCF of Denominators means GCF of 31,29,645 as per the given fractions.

GCF of 31,29,645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 483,207,796

LCM of Fractions 483/31,207/29,796/645 is 1153404

3 483, 207, 796
23 161, 69, 796
7, 3, 796

∴ So the LCM of the given numbers is 3 x 23 x 7 x 3 x 796 = 1153404

Least Common Multiple of 483,207,796 with GCF Formula

Least Common Multiple of 483,207,796 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 483,207,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,207,796) = 1

common factors(in case of two or more numbers have common factors) = 69

GCF(483,207,796) x common factors =1 x 69 = 69

LCM(483,207,796) = ( 483 × 207 × 796 ) / 69

LCM(483,207,796) = 79584876 / 69

LCM(483,207,796) = 1153404


Lets's calculate GCF of 31,29,645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1153404/1

Therefore the LCM of Fractions 483/31,207/29,796/645 is 1153404

Greatest Common Factor of 31,29,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,29,645 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 31,29,645 . The biggest common factor number is the GCF number.
So the greatest common factor 31,29,645 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 483/31, 207/29, 796/645

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 483/31, 207/29, 796/645?

Answer: LCM of Numerators as per given numbers 483/31, 207/29, 796/645 is

LCM of Numerators i.e. for 483,207,796 is 1153404

GCF of denominators i.e. for 31,29,645 is 1.

Thus, LCM of Fractions is 1153404.Finally, LCM of Fractions for 483/31, 207/29, 796/645 is 1153404.