Least Common Multiple of 63/936, 490/800, 312/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/936, 490/800, 312/183 quickly i.e. 229320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/936, 490/800, 312/183 is 229320.

LCM(63/936, 490/800, 312/183) = 229320

LCM of 63/936, 490/800, 312/183

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 63/936,490/800,312/183

Given numbers are 63/936,490/800,312/183

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 63,490,312

Least Common Multiple of Numerators i.e. LCM of 63,490,312 is 229320.

GCF of Denominators means GCF of 936,800,183 as per the given fractions.

GCF of 936,800,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,490,312

LCM of Fractions 63/936,490/800,312/183 is 229320

2 63, 490, 312
3 63, 245, 156
7 21, 245, 52
3, 35, 52

∴ So the LCM of the given numbers is 2 x 3 x 7 x 3 x 35 x 52 = 229320

Least Common Multiple of 63,490,312 with GCF Formula

Least Common Multiple of 63,490,312 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 63,490,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,490,312) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(63,490,312) x common factors =1 x 42 = 42

LCM(63,490,312) = ( 63 × 490 × 312 ) / 42

LCM(63,490,312) = 9631440 / 42

LCM(63,490,312) = 229320


Lets's calculate GCF of 936,800,183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229320/1

Therefore the LCM of Fractions 63/936,490/800,312/183 is 229320

Greatest Common Factor of 936,800,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,800,183 By Matching Biggest Common Factor Method

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

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 936,800,183 . The biggest common factor number is the GCF number.
So the greatest common factor 936,800,183 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 63/936, 490/800, 312/183

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 63/936, 490/800, 312/183?

Answer: LCM of Numerators as per given numbers 63/936, 490/800, 312/183 is

LCM of Numerators i.e. for 63,490,312 is 229320

GCF of denominators i.e. for 936,800,183 is 1.

Thus, LCM of Fractions is 229320.Finally, LCM of Fractions for 63/936, 490/800, 312/183 is 229320.