Least Common Multiple of 490/719, 1586/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/719, 1586/402 quickly i.e. 388570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/719, 1586/402 is 388570.

LCM(490/719, 1586/402) = 388570

LCM of 490/719, 1586/402

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 490/719,1586/402

Given numbers are 490/719,1586/402

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 490,1586

Least Common Multiple of Numerators i.e. LCM of 490,1586 is 388570.

GCF of Denominators means GCF of 719,402 as per the given fractions.

GCF of 719,402 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,1586

LCM of Fractions 490/719,1586/402 is 388570

2 490, 1586
245, 793

∴ So the LCM of the given numbers is 2 x 245 x 793 = 388570

Least Common Multiple of 490,1586 with GCF Formula

Least Common Multiple of 490,1586 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 490,1586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,1586) = 2

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

GCF(490,1586) x common factors =2 x 1 = 2

LCM(490,1586) = ( 490 × 1586 ) / 2

LCM(490,1586) = 777140 / 2

LCM(490,1586) = 388570


Lets's calculate GCF of 719,402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388570/1

Therefore the LCM of Fractions 490/719,1586/402 is 388570

Greatest Common Factor of 719,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,402 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 719,402 . The biggest common factor number is the GCF number.
So the greatest common factor 719,402 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 490/719, 1586/402

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 490/719, 1586/402?

Answer: LCM of Numerators as per given numbers 490/719, 1586/402 is

LCM of Numerators i.e. for 490,1586 is 388570

GCF of denominators i.e. for 719,402 is 1.

Thus, LCM of Fractions is 388570.Finally, LCM of Fractions for 490/719, 1586/402 is 388570.