Least Common Multiple of 11/827, 850/799, 938/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/827, 850/799, 938/960 quickly i.e. 4385150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/827, 850/799, 938/960 is 4385150.

LCM(11/827, 850/799, 938/960) = 4385150

LCM of 11/827, 850/799, 938/960

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 11/827,850/799,938/960

Given numbers are 11/827,850/799,938/960

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 11,850,938

Least Common Multiple of Numerators i.e. LCM of 11,850,938 is 4385150.

GCF of Denominators means GCF of 827,799,960 as per the given fractions.

GCF of 827,799,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,850,938

LCM of Fractions 11/827,850/799,938/960 is 4385150

2 11, 850, 938
11, 425, 469

∴ So the LCM of the given numbers is 2 x 11 x 425 x 469 = 4385150

Least Common Multiple of 11,850,938 with GCF Formula

Least Common Multiple of 11,850,938 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 11,850,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,850,938) = 1

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

GCF(11,850,938) x common factors =1 x 2 = 2

LCM(11,850,938) = ( 11 × 850 × 938 ) / 2

LCM(11,850,938) = 8770300 / 2

LCM(11,850,938) = 4385150


Lets's calculate GCF of 827,799,960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4385150/1

Therefore the LCM of Fractions 11/827,850/799,938/960 is 4385150

Greatest Common Factor of 827,799,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,799,960 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 827,799,960 . The biggest common factor number is the GCF number.
So the greatest common factor 827,799,960 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 11/827, 850/799, 938/960

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 11/827, 850/799, 938/960?

Answer: LCM of Numerators as per given numbers 11/827, 850/799, 938/960 is

LCM of Numerators i.e. for 11,850,938 is 4385150

GCF of denominators i.e. for 827,799,960 is 1.

Thus, LCM of Fractions is 4385150.Finally, LCM of Fractions for 11/827, 850/799, 938/960 is 4385150.