Least Common Multiple of 29/24, 49/10, 899/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/24, 49/10, 899/987 quickly i.e. 44051 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/24, 49/10, 899/987 is 44051.

LCM(29/24, 49/10, 899/987) = 44051

LCM of 29/24, 49/10, 899/987

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 29/24,49/10,899/987

Given numbers are 29/24,49/10,899/987

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 29,49,899

Least Common Multiple of Numerators i.e. LCM of 29,49,899 is 44051.

GCF of Denominators means GCF of 24,10,987 as per the given fractions.

GCF of 24,10,987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,49,899

LCM of Fractions 29/24,49/10,899/987 is 44051

29 29, 49, 899
1, 49, 31

∴ So the LCM of the given numbers is 29 x 1 x 49 x 31 = 44051

Least Common Multiple of 29,49,899 with GCF Formula

Least Common Multiple of 29,49,899 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 29,49,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,49,899) = 1

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

GCF(29,49,899) x common factors =1 x 29 = 29

LCM(29,49,899) = ( 29 × 49 × 899 ) / 29

LCM(29,49,899) = 1277479 / 29

LCM(29,49,899) = 44051


Lets's calculate GCF of 24,10,987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44051/1

Therefore the LCM of Fractions 29/24,49/10,899/987 is 44051

Greatest Common Factor of 24,10,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,10,987 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 24,10,987 . The biggest common factor number is the GCF number.
So the greatest common factor 24,10,987 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 29/24, 49/10, 899/987

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 29/24, 49/10, 899/987?

Answer: LCM of Numerators as per given numbers 29/24, 49/10, 899/987 is

LCM of Numerators i.e. for 29,49,899 is 44051

GCF of denominators i.e. for 24,10,987 is 1.

Thus, LCM of Fractions is 44051.Finally, LCM of Fractions for 29/24, 49/10, 899/987 is 44051.