Least Common Multiple of 62/690, 58/590, 901/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/690, 58/590, 901/409 quickly i.e. 1619998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/690, 58/590, 901/409 is 1619998.

LCM(62/690, 58/590, 901/409) = 1619998

LCM of 62/690, 58/590, 901/409

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 62/690,58/590,901/409

Given numbers are 62/690,58/590,901/409

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 62,58,901

Least Common Multiple of Numerators i.e. LCM of 62,58,901 is 1619998.

GCF of Denominators means GCF of 690,590,409 as per the given fractions.

GCF of 690,590,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,58,901

LCM of Fractions 62/690,58/590,901/409 is 1619998

2 62, 58, 901
31, 29, 901

∴ So the LCM of the given numbers is 2 x 31 x 29 x 901 = 1619998

Least Common Multiple of 62,58,901 with GCF Formula

Least Common Multiple of 62,58,901 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 62,58,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,58,901) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,58,901) x common factors =1 x 2 = 2

LCM(62,58,901) = ( 62 × 58 × 901 ) / 2

LCM(62,58,901) = 3239996 / 2

LCM(62,58,901) = 1619998


Lets's calculate GCF of 690,590,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1619998/1

Therefore the LCM of Fractions 62/690,58/590,901/409 is 1619998

Greatest Common Factor of 690,590,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,590,409 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 690,590,409 . The biggest common factor number is the GCF number.
So the greatest common factor 690,590,409 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 62/690, 58/590, 901/409

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 62/690, 58/590, 901/409?

Answer: LCM of Numerators as per given numbers 62/690, 58/590, 901/409 is

LCM of Numerators i.e. for 62,58,901 is 1619998

GCF of denominators i.e. for 690,590,409 is 1.

Thus, LCM of Fractions is 1619998.Finally, LCM of Fractions for 62/690, 58/590, 901/409 is 1619998.