Least Common Multiple of 34/613, 213/706, 609/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/613, 213/706, 609/971 quickly i.e. 1470126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/613, 213/706, 609/971 is 1470126.

LCM(34/613, 213/706, 609/971) = 1470126

LCM of 34/613, 213/706, 609/971

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 34/613,213/706,609/971

Given numbers are 34/613,213/706,609/971

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 34,213,609

Least Common Multiple of Numerators i.e. LCM of 34,213,609 is 1470126.

GCF of Denominators means GCF of 613,706,971 as per the given fractions.

GCF of 613,706,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,213,609

LCM of Fractions 34/613,213/706,609/971 is 1470126

3 34, 213, 609
34, 71, 203

∴ So the LCM of the given numbers is 3 x 34 x 71 x 203 = 1470126

Least Common Multiple of 34,213,609 with GCF Formula

Least Common Multiple of 34,213,609 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 34,213,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,213,609) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(34,213,609) x common factors =1 x 3 = 3

LCM(34,213,609) = ( 34 × 213 × 609 ) / 3

LCM(34,213,609) = 4410378 / 3

LCM(34,213,609) = 1470126


Lets's calculate GCF of 613,706,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1470126/1

Therefore the LCM of Fractions 34/613,213/706,609/971 is 1470126

Greatest Common Factor of 613,706,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,706,971 By Matching Biggest Common Factor Method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 613,706,971 . The biggest common factor number is the GCF number.
So the greatest common factor 613,706,971 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 34/613, 213/706, 609/971

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 34/613, 213/706, 609/971?

Answer: LCM of Numerators as per given numbers 34/613, 213/706, 609/971 is

LCM of Numerators i.e. for 34,213,609 is 1470126

GCF of denominators i.e. for 613,706,971 is 1.

Thus, LCM of Fractions is 1470126.Finally, LCM of Fractions for 34/613, 213/706, 609/971 is 1470126.