Least Common Multiple of 1630/729, 6790/1283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1630/729, 6790/1283 quickly i.e. 1106770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1630/729, 6790/1283 is 1106770.

LCM(1630/729, 6790/1283) = 1106770

LCM of 1630/729, 6790/1283

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 1630/729,6790/1283

Given numbers are 1630/729,6790/1283

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 1630,6790

Least Common Multiple of Numerators i.e. LCM of 1630,6790 is 1106770.

GCF of Denominators means GCF of 729,1283 as per the given fractions.

GCF of 729,1283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1630,6790

LCM of Fractions 1630/729,6790/1283 is 1106770

2 1630, 6790
5 815, 3395
163, 679

∴ So the LCM of the given numbers is 2 x 5 x 163 x 679 = 1106770

Least Common Multiple of 1630,6790 with GCF Formula

Least Common Multiple of 1630,6790 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 1630,6790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1630,6790) = 10

common factors(in case of two or more numbers have common factors) = 1

GCF(1630,6790) x common factors =10 x 1 = 10

LCM(1630,6790) = ( 1630 × 6790 ) / 10

LCM(1630,6790) = 11067700 / 10

LCM(1630,6790) = 1106770


Lets's calculate GCF of 729,1283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1106770/1

Therefore the LCM of Fractions 1630/729,6790/1283 is 1106770

Greatest Common Factor of 729,1283 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,1283 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 1283

List of positive integer factors of 1283 that divides 1283 without a remainder.

1,1283

Greatest Common Factor

We found the factors 729,1283 . The biggest common factor number is the GCF number.
So the greatest common factor 729,1283 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 1630/729, 6790/1283

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 1630/729, 6790/1283?

Answer: LCM of Numerators as per given numbers 1630/729, 6790/1283 is

LCM of Numerators i.e. for 1630,6790 is 1106770

GCF of denominators i.e. for 729,1283 is 1.

Thus, LCM of Fractions is 1106770.Finally, LCM of Fractions for 1630/729, 6790/1283 is 1106770.