Least Common Multiple of 35/822, 232/818, 568/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/822, 232/818, 568/300 quickly i.e. 288260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/822, 232/818, 568/300 is 288260.

LCM(35/822, 232/818, 568/300) = 288260

LCM of 35/822, 232/818, 568/300

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 35/822,232/818,568/300

Given numbers are 35/822,232/818,568/300

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 35,232,568

Least Common Multiple of Numerators i.e. LCM of 35,232,568 is 576520.

GCF of Denominators means GCF of 822,818,300 as per the given fractions.

GCF of 822,818,300 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,232,568

LCM of Fractions 35/822,232/818,568/300 is 288260

2 35, 232, 568
2 35, 116, 284
2 35, 58, 142
35, 29, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 35 x 29 x 71 = 576520

Least Common Multiple of 35,232,568 with GCF Formula

Least Common Multiple of 35,232,568 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 35,232,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,232,568) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(35,232,568) x common factors =1 x 8 = 8

LCM(35,232,568) = ( 35 × 232 × 568 ) / 8

LCM(35,232,568) = 4612160 / 8

LCM(35,232,568) = 576520


Lets's calculate GCF of 822,818,300

2 822, 818, 300
411, 409, 150

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576520/2

Therefore the LCM of Fractions 35/822,232/818,568/300 is 288260

Greatest Common Factor of 822,818,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,818,300 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 818

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

1,2,409,818

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 822,818,300 . The biggest common factor number is the GCF number.
So the greatest common factor 822,818,300 is 2.


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 35/822, 232/818, 568/300

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 35/822, 232/818, 568/300?

Answer: LCM of Numerators as per given numbers 35/822, 232/818, 568/300 is

LCM of Numerators i.e. for 35,232,568 is 576520

GCF of denominators i.e. for 822,818,300 is 2.

Thus, LCM of Fractions is 288260.Finally, LCM of Fractions for 35/822, 232/818, 568/300 is 288260.