Least Common Multiple of 29/706, 290/580, 822/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/706, 290/580, 822/981 quickly i.e. 119190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/706, 290/580, 822/981 is 119190.

LCM(29/706, 290/580, 822/981) = 119190

LCM of 29/706, 290/580, 822/981

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 29/706,290/580,822/981

Given numbers are 29/706,290/580,822/981

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 29,290,822

Least Common Multiple of Numerators i.e. LCM of 29,290,822 is 119190.

GCF of Denominators means GCF of 706,580,981 as per the given fractions.

GCF of 706,580,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,290,822

LCM of Fractions 29/706,290/580,822/981 is 119190

2 29, 290, 822
29 29, 145, 411
1, 5, 411

∴ So the LCM of the given numbers is 2 x 29 x 1 x 5 x 411 = 119190

Least Common Multiple of 29,290,822 with GCF Formula

Least Common Multiple of 29,290,822 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 29,290,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,290,822) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(29,290,822) x common factors =1 x 58 = 58

LCM(29,290,822) = ( 29 × 290 × 822 ) / 58

LCM(29,290,822) = 6913020 / 58

LCM(29,290,822) = 119190


Lets's calculate GCF of 706,580,981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119190/1

Therefore the LCM of Fractions 29/706,290/580,822/981 is 119190

Greatest Common Factor of 706,580,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,580,981 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 706,580,981 . The biggest common factor number is the GCF number.
So the greatest common factor 706,580,981 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 29/706, 290/580, 822/981

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 29/706, 290/580, 822/981?

Answer: LCM of Numerators as per given numbers 29/706, 290/580, 822/981 is

LCM of Numerators i.e. for 29,290,822 is 119190

GCF of denominators i.e. for 706,580,981 is 1.

Thus, LCM of Fractions is 119190.Finally, LCM of Fractions for 29/706, 290/580, 822/981 is 119190.