Least Common Multiple of 66/280, 50/936, 315/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/280, 50/936, 315/800 quickly i.e. 34650/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/280, 50/936, 315/800 is 34650/8.

LCM(66/280, 50/936, 315/800) = 34650/8

LCM of 66/280, 50/936, 315/800

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 66/280,50/936,315/800

Given numbers are 66/280,50/936,315/800

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 66,50,315

Least Common Multiple of Numerators i.e. LCM of 66,50,315 is 34650.

GCF of Denominators means GCF of 280,936,800 as per the given fractions.

GCF of 280,936,800 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,50,315

LCM of Fractions 66/280,50/936,315/800 is 34650/8

2 66, 50, 315
3 33, 25, 315
5 11, 25, 105
11, 5, 21

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 5 x 21 = 34650

Least Common Multiple of 66,50,315 with GCF Formula

Least Common Multiple of 66,50,315 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 66,50,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,50,315) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(66,50,315) x common factors =1 x 30 = 30

LCM(66,50,315) = ( 66 × 50 × 315 ) / 30

LCM(66,50,315) = 1039500 / 30

LCM(66,50,315) = 34650


Lets's calculate GCF of 280,936,800

2 280, 936, 800
2 140, 468, 400
2 70, 234, 200
35, 117, 100

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34650/8

Therefore the LCM of Fractions 66/280,50/936,315/800 is 34650/8

Greatest Common Factor of 280,936,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,936,800 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 280,936,800 . The biggest common factor number is the GCF number.
So the greatest common factor 280,936,800 is 8.


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 66/280, 50/936, 315/800

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 66/280, 50/936, 315/800?

Answer: LCM of Numerators as per given numbers 66/280, 50/936, 315/800 is

LCM of Numerators i.e. for 66,50,315 is 34650

GCF of denominators i.e. for 280,936,800 is 8.

Thus, LCM of Fractions is 34650/8.Finally, LCM of Fractions for 66/280, 50/936, 315/800 is 34650/8.