Least Common Multiple of 29/482, 87/120, 965/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/482, 87/120, 965/200 quickly i.e. 83955/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/482, 87/120, 965/200 is 83955/2.

LCM(29/482, 87/120, 965/200) = 83955/2

LCM of 29/482, 87/120, 965/200

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 29/482,87/120,965/200

Given numbers are 29/482,87/120,965/200

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 29,87,965

Least Common Multiple of Numerators i.e. LCM of 29,87,965 is 83955.

GCF of Denominators means GCF of 482,120,200 as per the given fractions.

GCF of 482,120,200 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,87,965

LCM of Fractions 29/482,87/120,965/200 is 83955/2

29 29, 87, 965
1, 3, 965

∴ So the LCM of the given numbers is 29 x 1 x 3 x 965 = 83955

Least Common Multiple of 29,87,965 with GCF Formula

Least Common Multiple of 29,87,965 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 29,87,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,87,965) = 1

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

GCF(29,87,965) x common factors =1 x 29 = 29

LCM(29,87,965) = ( 29 × 87 × 965 ) / 29

LCM(29,87,965) = 2434695 / 29

LCM(29,87,965) = 83955


Lets's calculate GCF of 482,120,200

2 482, 120, 200
241, 60, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83955/2

Therefore the LCM of Fractions 29/482,87/120,965/200 is 83955/2

Greatest Common Factor of 482,120,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,120,200 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 482,120,200 . The biggest common factor number is the GCF number.
So the greatest common factor 482,120,200 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 29/482, 87/120, 965/200

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 29/482, 87/120, 965/200?

Answer: LCM of Numerators as per given numbers 29/482, 87/120, 965/200 is

LCM of Numerators i.e. for 29,87,965 is 83955

GCF of denominators i.e. for 482,120,200 is 2.

Thus, LCM of Fractions is 83955/2.Finally, LCM of Fractions for 29/482, 87/120, 965/200 is 83955/2.