Least Common Multiple of 63/286, 315/63, 834/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 63/286, 315/63, 834/250 quickly i.e. 87570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/286, 315/63, 834/250 is 87570.

LCM(63/286, 315/63, 834/250) = 87570

LCM of 63/286, 315/63, 834/250

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 63/286,315/63,834/250

Given numbers are 63/286,315/63,834/250

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 63,315,834

Least Common Multiple of Numerators i.e. LCM of 63,315,834 is 87570.

GCF of Denominators means GCF of 286,63,250 as per the given fractions.

GCF of 286,63,250 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,315,834

LCM of Fractions 63/286,315/63,834/250 is 87570

3 63, 315, 834
3 21, 105, 278
7 7, 35, 278
1, 5, 278

∴ So the LCM of the given numbers is 3 x 3 x 7 x 1 x 5 x 278 = 87570

Least Common Multiple of 63,315,834 with GCF Formula

Least Common Multiple of 63,315,834 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 63,315,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,315,834) = 3

common factors(in case of two or more numbers have common factors) = 63

GCF(63,315,834) x common factors =3 x 63 = 189

LCM(63,315,834) = ( 63 × 315 × 834 ) / 189

LCM(63,315,834) = 16550730 / 189

LCM(63,315,834) = 87570


Lets's calculate GCF of 286,63,250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87570/1

Therefore the LCM of Fractions 63/286,315/63,834/250 is 87570

Greatest Common Factor of 286,63,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,63,250 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 286,63,250 . The biggest common factor number is the GCF number.
So the greatest common factor 286,63,250 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 63/286, 315/63, 834/250

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 63/286, 315/63, 834/250?

Answer: LCM of Numerators as per given numbers 63/286, 315/63, 834/250 is

LCM of Numerators i.e. for 63,315,834 is 87570

GCF of denominators i.e. for 286,63,250 is 1.

Thus, LCM of Fractions is 87570.Finally, LCM of Fractions for 63/286, 315/63, 834/250 is 87570.