Least Common Multiple of 469/33, 3850/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/33, 3850/847 quickly i.e. 23450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/33, 3850/847 is 23450.

LCM(469/33, 3850/847) = 23450

LCM of 469/33, 3850/847

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 469/33,3850/847

Given numbers are 469/33,3850/847

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 469,3850

Least Common Multiple of Numerators i.e. LCM of 469,3850 is 257950.

GCF of Denominators means GCF of 33,847 as per the given fractions.

GCF of 33,847 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,3850

LCM of Fractions 469/33,3850/847 is 23450

7 469, 3850
67, 550

∴ So the LCM of the given numbers is 7 x 67 x 550 = 257950

Least Common Multiple of 469,3850 with GCF Formula

Least Common Multiple of 469,3850 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 469,3850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,3850) = 7

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

GCF(469,3850) x common factors =7 x 1 = 7

LCM(469,3850) = ( 469 × 3850 ) / 7

LCM(469,3850) = 1805650 / 7

LCM(469,3850) = 257950


Lets's calculate GCF of 33,847

11 33, 847
3, 77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257950/11

Therefore the LCM of Fractions 469/33,3850/847 is 23450

Greatest Common Factor of 33,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,847 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 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 33,847 . The biggest common factor number is the GCF number.
So the greatest common factor 33,847 is 11.


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 469/33, 3850/847

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 469/33, 3850/847?

Answer: LCM of Numerators as per given numbers 469/33, 3850/847 is

LCM of Numerators i.e. for 469,3850 is 257950

GCF of denominators i.e. for 33,847 is 11.

Thus, LCM of Fractions is 23450.Finally, LCM of Fractions for 469/33, 3850/847 is 23450.