Least Common Multiple of 975/84, 144/33, 420/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 975/84, 144/33, 420/71 quickly i.e. 327600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 975/84, 144/33, 420/71 is 327600.

LCM(975/84, 144/33, 420/71) = 327600

LCM of 975/84, 144/33, 420/71

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 975/84,144/33,420/71

Given numbers are 975/84,144/33,420/71

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 975,144,420

Least Common Multiple of Numerators i.e. LCM of 975,144,420 is 327600.

GCF of Denominators means GCF of 84,33,71 as per the given fractions.

GCF of 84,33,71 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 975,144,420

LCM of Fractions 975/84,144/33,420/71 is 327600

2 975, 144, 420
2 975, 72, 210
3 975, 36, 105
5 325, 12, 35
65, 12, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 65 x 12 x 7 = 327600

Least Common Multiple of 975,144,420 with GCF Formula

Least Common Multiple of 975,144,420 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 975,144,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,144,420) = 3

common factors(in case of two or more numbers have common factors) = 60

GCF(975,144,420) x common factors =3 x 60 = 180

LCM(975,144,420) = ( 975 × 144 × 420 ) / 180

LCM(975,144,420) = 58968000 / 180

LCM(975,144,420) = 327600


Lets's calculate GCF of 84,33,71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327600/1

Therefore the LCM of Fractions 975/84,144/33,420/71 is 327600

Greatest Common Factor of 84,33,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,33,71 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors 84,33,71 . The biggest common factor number is the GCF number.
So the greatest common factor 84,33,71 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 975/84, 144/33, 420/71

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 975/84, 144/33, 420/71?

Answer: LCM of Numerators as per given numbers 975/84, 144/33, 420/71 is

LCM of Numerators i.e. for 975,144,420 is 327600

GCF of denominators i.e. for 84,33,71 is 1.

Thus, LCM of Fractions is 327600.Finally, LCM of Fractions for 975/84, 144/33, 420/71 is 327600.