Least Common Multiple of 29/27, 784/62, 899/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/27, 784/62, 899/141 quickly i.e. 704816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/27, 784/62, 899/141 is 704816.

LCM(29/27, 784/62, 899/141) = 704816

LCM of 29/27, 784/62, 899/141

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 29/27,784/62,899/141

Given numbers are 29/27,784/62,899/141

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 29,784,899

Least Common Multiple of Numerators i.e. LCM of 29,784,899 is 704816.

GCF of Denominators means GCF of 27,62,141 as per the given fractions.

GCF of 27,62,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,784,899

LCM of Fractions 29/27,784/62,899/141 is 704816

29 29, 784, 899
1, 784, 31

∴ So the LCM of the given numbers is 29 x 1 x 784 x 31 = 704816

Least Common Multiple of 29,784,899 with GCF Formula

Least Common Multiple of 29,784,899 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 29,784,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,784,899) = 1

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

GCF(29,784,899) x common factors =1 x 29 = 29

LCM(29,784,899) = ( 29 × 784 × 899 ) / 29

LCM(29,784,899) = 20439664 / 29

LCM(29,784,899) = 704816


Lets's calculate GCF of 27,62,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 704816/1

Therefore the LCM of Fractions 29/27,784/62,899/141 is 704816

Greatest Common Factor of 27,62,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,62,141 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 27,62,141 . The biggest common factor number is the GCF number.
So the greatest common factor 27,62,141 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/27, 784/62, 899/141

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 29/27, 784/62, 899/141?

Answer: LCM of Numerators as per given numbers 29/27, 784/62, 899/141 is

LCM of Numerators i.e. for 29,784,899 is 704816

GCF of denominators i.e. for 27,62,141 is 1.

Thus, LCM of Fractions is 704816.Finally, LCM of Fractions for 29/27, 784/62, 899/141 is 704816.