Least Common Multiple of 435/33, 835/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 435/33, 835/550 quickly i.e. 72645/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 435/33, 835/550 is 72645/11.

LCM(435/33, 835/550) = 72645/11

LCM of 435/33, 835/550

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 435/33,835/550

Given numbers are 435/33,835/550

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 435,835

Least Common Multiple of Numerators i.e. LCM of 435,835 is 72645.

GCF of Denominators means GCF of 33,550 as per the given fractions.

GCF of 33,550 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 435,835

LCM of Fractions 435/33,835/550 is 72645/11

5 435, 835
87, 167

∴ So the LCM of the given numbers is 5 x 87 x 167 = 72645

Least Common Multiple of 435,835 with GCF Formula

Least Common Multiple of 435,835 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 435,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,835) = 5

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

GCF(435,835) x common factors =5 x 1 = 5

LCM(435,835) = ( 435 × 835 ) / 5

LCM(435,835) = 363225 / 5

LCM(435,835) = 72645


Lets's calculate GCF of 33,550

11 33, 550
3, 50

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72645/11

Therefore the LCM of Fractions 435/33,835/550 is 72645/11

Greatest Common Factor of 33,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,550 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 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 33,550 . The biggest common factor number is the GCF number.
So the greatest common factor 33,550 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 435/33, 835/550

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 435/33, 835/550?

Answer: LCM of Numerators as per given numbers 435/33, 835/550 is

LCM of Numerators i.e. for 435,835 is 72645

GCF of denominators i.e. for 33,550 is 11.

Thus, LCM of Fractions is 72645/11.Finally, LCM of Fractions for 435/33, 835/550 is 72645/11.