Least Common Multiple of 61/870, 823/909, 342/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/870, 823/909, 342/829 quickly i.e. 17169426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/870, 823/909, 342/829 is 17169426.

LCM(61/870, 823/909, 342/829) = 17169426

LCM of 61/870, 823/909, 342/829

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 61/870,823/909,342/829

Given numbers are 61/870,823/909,342/829

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 61,823,342

Least Common Multiple of Numerators i.e. LCM of 61,823,342 is 17169426.

GCF of Denominators means GCF of 870,909,829 as per the given fractions.

GCF of 870,909,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,823,342

LCM of Fractions 61/870,823/909,342/829 is 17169426

Given numbers has no common factors except 1. So, there LCM is their product i.e 17169426

Least Common Multiple of 61,823,342 with GCF Formula

Least Common Multiple of 61,823,342 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 61,823,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,823,342) = 1

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

GCF(61,823,342) x common factors =1 x 1 = 1

LCM(61,823,342) = ( 61 × 823 × 342 ) / 1

LCM(61,823,342) = 17169426 / 1

LCM(61,823,342) = 17169426


Lets's calculate GCF of 870,909,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17169426/1

Therefore the LCM of Fractions 61/870,823/909,342/829 is 17169426

Greatest Common Factor of 870,909,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,909,829 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 870,909,829 . The biggest common factor number is the GCF number.
So the greatest common factor 870,909,829 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 61/870, 823/909, 342/829

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 61/870, 823/909, 342/829?

Answer: LCM of Numerators as per given numbers 61/870, 823/909, 342/829 is

LCM of Numerators i.e. for 61,823,342 is 17169426

GCF of denominators i.e. for 870,909,829 is 1.

Thus, LCM of Fractions is 17169426.Finally, LCM of Fractions for 61/870, 823/909, 342/829 is 17169426.