Least Common Multiple of 61/629, 609/562, 570/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/629, 609/562, 570/310 quickly i.e. 7058310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/629, 609/562, 570/310 is 7058310.

LCM(61/629, 609/562, 570/310) = 7058310

LCM of 61/629, 609/562, 570/310

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 61/629,609/562,570/310

Given numbers are 61/629,609/562,570/310

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 61,609,570

Least Common Multiple of Numerators i.e. LCM of 61,609,570 is 7058310.

GCF of Denominators means GCF of 629,562,310 as per the given fractions.

GCF of 629,562,310 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,609,570

LCM of Fractions 61/629,609/562,570/310 is 7058310

3 61, 609, 570
61, 203, 190

∴ So the LCM of the given numbers is 3 x 61 x 203 x 190 = 7058310

Least Common Multiple of 61,609,570 with GCF Formula

Least Common Multiple of 61,609,570 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 61,609,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,609,570) = 1

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

GCF(61,609,570) x common factors =1 x 3 = 3

LCM(61,609,570) = ( 61 × 609 × 570 ) / 3

LCM(61,609,570) = 21174930 / 3

LCM(61,609,570) = 7058310


Lets's calculate GCF of 629,562,310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7058310/1

Therefore the LCM of Fractions 61/629,609/562,570/310 is 7058310

Greatest Common Factor of 629,562,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,562,310 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 629,562,310 . The biggest common factor number is the GCF number.
So the greatest common factor 629,562,310 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 61/629, 609/562, 570/310

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 61/629, 609/562, 570/310?

Answer: LCM of Numerators as per given numbers 61/629, 609/562, 570/310 is

LCM of Numerators i.e. for 61,609,570 is 7058310

GCF of denominators i.e. for 629,562,310 is 1.

Thus, LCM of Fractions is 7058310.Finally, LCM of Fractions for 61/629, 609/562, 570/310 is 7058310.