Least Common Multiple of 69/469, 643/105, 943/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/469, 643/105, 943/875 quickly i.e. 1819047/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/469, 643/105, 943/875 is 1819047/7.

LCM(69/469, 643/105, 943/875) = 1819047/7

LCM of 69/469, 643/105, 943/875

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 69/469,643/105,943/875

Given numbers are 69/469,643/105,943/875

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 69,643,943

Least Common Multiple of Numerators i.e. LCM of 69,643,943 is 1819047.

GCF of Denominators means GCF of 469,105,875 as per the given fractions.

GCF of 469,105,875 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,643,943

LCM of Fractions 69/469,643/105,943/875 is 1819047/7

23 69, 643, 943
3, 643, 41

∴ So the LCM of the given numbers is 23 x 3 x 643 x 41 = 1819047

Least Common Multiple of 69,643,943 with GCF Formula

Least Common Multiple of 69,643,943 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 69,643,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,643,943) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(69,643,943) x common factors =1 x 23 = 23

LCM(69,643,943) = ( 69 × 643 × 943 ) / 23

LCM(69,643,943) = 41838081 / 23

LCM(69,643,943) = 1819047


Lets's calculate GCF of 469,105,875

7 469, 105, 875
67, 15, 125

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1819047/7

Therefore the LCM of Fractions 69/469,643/105,943/875 is 1819047/7

Greatest Common Factor of 469,105,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,105,875 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 469,105,875 . The biggest common factor number is the GCF number.
So the greatest common factor 469,105,875 is 7.


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 69/469, 643/105, 943/875

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 69/469, 643/105, 943/875?

Answer: LCM of Numerators as per given numbers 69/469, 643/105, 943/875 is

LCM of Numerators i.e. for 69,643,943 is 1819047

GCF of denominators i.e. for 469,105,875 is 7.

Thus, LCM of Fractions is 1819047/7.Finally, LCM of Fractions for 69/469, 643/105, 943/875 is 1819047/7.