Least Common Multiple of 83/775, 32/818, 400/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/775, 32/818, 400/888 quickly i.e. 66400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/775, 32/818, 400/888 is 66400.

LCM(83/775, 32/818, 400/888) = 66400

LCM of 83/775, 32/818, 400/888

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 83/775,32/818,400/888

Given numbers are 83/775,32/818,400/888

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 83,32,400

Least Common Multiple of Numerators i.e. LCM of 83,32,400 is 66400.

GCF of Denominators means GCF of 775,818,888 as per the given fractions.

GCF of 775,818,888 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,32,400

LCM of Fractions 83/775,32/818,400/888 is 66400

2 83, 32, 400
2 83, 16, 200
2 83, 8, 100
2 83, 4, 50
83, 2, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 83 x 2 x 25 = 66400

Least Common Multiple of 83,32,400 with GCF Formula

Least Common Multiple of 83,32,400 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 83,32,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,32,400) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(83,32,400) x common factors =1 x 16 = 16

LCM(83,32,400) = ( 83 × 32 × 400 ) / 16

LCM(83,32,400) = 1062400 / 16

LCM(83,32,400) = 66400


Lets's calculate GCF of 775,818,888

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66400/1

Therefore the LCM of Fractions 83/775,32/818,400/888 is 66400

Greatest Common Factor of 775,818,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,818,888 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 775,818,888 . The biggest common factor number is the GCF number.
So the greatest common factor 775,818,888 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 83/775, 32/818, 400/888

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 83/775, 32/818, 400/888?

Answer: LCM of Numerators as per given numbers 83/775, 32/818, 400/888 is

LCM of Numerators i.e. for 83,32,400 is 66400

GCF of denominators i.e. for 775,818,888 is 1.

Thus, LCM of Fractions is 66400.Finally, LCM of Fractions for 83/775, 32/818, 400/888 is 66400.