Least Common Multiple of 29/811, 145/821, 534/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/811, 145/821, 534/735 quickly i.e. 77430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/811, 145/821, 534/735 is 77430.

LCM(29/811, 145/821, 534/735) = 77430

LCM of 29/811, 145/821, 534/735

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 29/811,145/821,534/735

Given numbers are 29/811,145/821,534/735

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 29,145,534

Least Common Multiple of Numerators i.e. LCM of 29,145,534 is 77430.

GCF of Denominators means GCF of 811,821,735 as per the given fractions.

GCF of 811,821,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,145,534

LCM of Fractions 29/811,145/821,534/735 is 77430

29 29, 145, 534
1, 5, 534

∴ So the LCM of the given numbers is 29 x 1 x 5 x 534 = 77430

Least Common Multiple of 29,145,534 with GCF Formula

Least Common Multiple of 29,145,534 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 29,145,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,145,534) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(29,145,534) x common factors =1 x 29 = 29

LCM(29,145,534) = ( 29 × 145 × 534 ) / 29

LCM(29,145,534) = 2245470 / 29

LCM(29,145,534) = 77430


Lets's calculate GCF of 811,821,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77430/1

Therefore the LCM of Fractions 29/811,145/821,534/735 is 77430

Greatest Common Factor of 811,821,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,821,735 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 811,821,735 . The biggest common factor number is the GCF number.
So the greatest common factor 811,821,735 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 29/811, 145/821, 534/735

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 29/811, 145/821, 534/735?

Answer: LCM of Numerators as per given numbers 29/811, 145/821, 534/735 is

LCM of Numerators i.e. for 29,145,534 is 77430

GCF of denominators i.e. for 811,821,735 is 1.

Thus, LCM of Fractions is 77430.Finally, LCM of Fractions for 29/811, 145/821, 534/735 is 77430.