Least Common Multiple of 29/480, 245/822, 845/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/480, 245/822, 845/970 quickly i.e. 1200745/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/480, 245/822, 845/970 is 1200745/2.

LCM(29/480, 245/822, 845/970) = 1200745/2

LCM of 29/480, 245/822, 845/970

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 29/480,245/822,845/970

Given numbers are 29/480,245/822,845/970

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 29,245,845

Least Common Multiple of Numerators i.e. LCM of 29,245,845 is 1200745.

GCF of Denominators means GCF of 480,822,970 as per the given fractions.

GCF of 480,822,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,245,845

LCM of Fractions 29/480,245/822,845/970 is 1200745/2

5 29, 245, 845
29, 49, 169

∴ So the LCM of the given numbers is 5 x 29 x 49 x 169 = 1200745

Least Common Multiple of 29,245,845 with GCF Formula

Least Common Multiple of 29,245,845 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 29,245,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,245,845) = 1

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

GCF(29,245,845) x common factors =1 x 5 = 5

LCM(29,245,845) = ( 29 × 245 × 845 ) / 5

LCM(29,245,845) = 6003725 / 5

LCM(29,245,845) = 1200745


Lets's calculate GCF of 480,822,970

2 480, 822, 970
240, 411, 485

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1200745/2

Therefore the LCM of Fractions 29/480,245/822,845/970 is 1200745/2

Greatest Common Factor of 480,822,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,822,970 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 480,822,970 . The biggest common factor number is the GCF number.
So the greatest common factor 480,822,970 is 2.


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 29/480, 245/822, 845/970

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 29/480, 245/822, 845/970?

Answer: LCM of Numerators as per given numbers 29/480, 245/822, 845/970 is

LCM of Numerators i.e. for 29,245,845 is 1200745

GCF of denominators i.e. for 480,822,970 is 2.

Thus, LCM of Fractions is 1200745/2.Finally, LCM of Fractions for 29/480, 245/822, 845/970 is 1200745/2.