Least Common Multiple of 29/660, 735/474, 775/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/660, 735/474, 775/530 quickly i.e. 3303825/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/660, 735/474, 775/530 is 3303825/2.

LCM(29/660, 735/474, 775/530) = 3303825/2

LCM of 29/660, 735/474, 775/530

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 29/660,735/474,775/530

Given numbers are 29/660,735/474,775/530

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 29,735,775

Least Common Multiple of Numerators i.e. LCM of 29,735,775 is 3303825.

GCF of Denominators means GCF of 660,474,530 as per the given fractions.

GCF of 660,474,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,735,775

LCM of Fractions 29/660,735/474,775/530 is 3303825/2

5 29, 735, 775
29, 147, 155

∴ So the LCM of the given numbers is 5 x 29 x 147 x 155 = 3303825

Least Common Multiple of 29,735,775 with GCF Formula

Least Common Multiple of 29,735,775 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 29,735,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,735,775) = 1

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

GCF(29,735,775) x common factors =1 x 5 = 5

LCM(29,735,775) = ( 29 × 735 × 775 ) / 5

LCM(29,735,775) = 16519125 / 5

LCM(29,735,775) = 3303825


Lets's calculate GCF of 660,474,530

2 660, 474, 530
330, 237, 265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3303825/2

Therefore the LCM of Fractions 29/660,735/474,775/530 is 3303825/2

Greatest Common Factor of 660,474,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,474,530 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 660,474,530 . The biggest common factor number is the GCF number.
So the greatest common factor 660,474,530 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 29/660, 735/474, 775/530

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 29/660, 735/474, 775/530?

Answer: LCM of Numerators as per given numbers 29/660, 735/474, 775/530 is

LCM of Numerators i.e. for 29,735,775 is 3303825

GCF of denominators i.e. for 660,474,530 is 2.

Thus, LCM of Fractions is 3303825/2.Finally, LCM of Fractions for 29/660, 735/474, 775/530 is 3303825/2.