Least Common Multiple of 787/33, 1022/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 787/33, 1022/200 quickly i.e. 804314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 787/33, 1022/200 is 804314.

LCM(787/33, 1022/200) = 804314

LCM of 787/33, 1022/200

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 787/33,1022/200

Given numbers are 787/33,1022/200

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 787,1022

Least Common Multiple of Numerators i.e. LCM of 787,1022 is 804314.

GCF of Denominators means GCF of 33,200 as per the given fractions.

GCF of 33,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 787,1022

LCM of Fractions 787/33,1022/200 is 804314

Given numbers has no common factors except 1. So, there LCM is their product i.e 804314

Least Common Multiple of 787,1022 with GCF Formula

Least Common Multiple of 787,1022 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 787,1022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,1022) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(787,1022) x common factors =1 x 1 = 1

LCM(787,1022) = ( 787 × 1022 ) / 1

LCM(787,1022) = 804314 / 1

LCM(787,1022) = 804314


Lets's calculate GCF of 33,200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 804314/1

Therefore the LCM of Fractions 787/33,1022/200 is 804314

Greatest Common Factor of 33,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,200 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 33,200 . The biggest common factor number is the GCF number.
So the greatest common factor 33,200 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 787/33, 1022/200

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 787/33, 1022/200?

Answer: LCM of Numerators as per given numbers 787/33, 1022/200 is

LCM of Numerators i.e. for 787,1022 is 804314

GCF of denominators i.e. for 33,200 is 1.

Thus, LCM of Fractions is 804314.Finally, LCM of Fractions for 787/33, 1022/200 is 804314.