Least Common Multiple of 950/810, 982/231, 419/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 950/810, 982/231, 419/252 quickly i.e. 195442550/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 950/810, 982/231, 419/252 is 195442550/3.

LCM(950/810, 982/231, 419/252) = 195442550/3

LCM of 950/810, 982/231, 419/252

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 950/810,982/231,419/252

Given numbers are 950/810,982/231,419/252

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 950,982,419

Least Common Multiple of Numerators i.e. LCM of 950,982,419 is 195442550.

GCF of Denominators means GCF of 810,231,252 as per the given fractions.

GCF of 810,231,252 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 950,982,419

LCM of Fractions 950/810,982/231,419/252 is 195442550/3

2 950, 982, 419
475, 491, 419

∴ So the LCM of the given numbers is 2 x 475 x 491 x 419 = 195442550

Least Common Multiple of 950,982,419 with GCF Formula

Least Common Multiple of 950,982,419 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 950,982,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,982,419) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(950,982,419) x common factors =1 x 2 = 2

LCM(950,982,419) = ( 950 × 982 × 419 ) / 2

LCM(950,982,419) = 390885100 / 2

LCM(950,982,419) = 195442550


Lets's calculate GCF of 810,231,252

3 810, 231, 252
270, 77, 84

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195442550/3

Therefore the LCM of Fractions 950/810,982/231,419/252 is 195442550/3

Greatest Common Factor of 810,231,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,231,252 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 810,231,252 . The biggest common factor number is the GCF number.
So the greatest common factor 810,231,252 is 3.


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 950/810, 982/231, 419/252

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 950/810, 982/231, 419/252?

Answer: LCM of Numerators as per given numbers 950/810, 982/231, 419/252 is

LCM of Numerators i.e. for 950,982,419 is 195442550

GCF of denominators i.e. for 810,231,252 is 3.

Thus, LCM of Fractions is 195442550/3.Finally, LCM of Fractions for 950/810, 982/231, 419/252 is 195442550/3.