Least Common Multiple of 614/90, 2419/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/90, 2419/626 quickly i.e. 742633 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/90, 2419/626 is 742633.

LCM(614/90, 2419/626) = 742633

LCM of 614/90, 2419/626

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 614/90,2419/626

Given numbers are 614/90,2419/626

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 614,2419

Least Common Multiple of Numerators i.e. LCM of 614,2419 is 1485266.

GCF of Denominators means GCF of 90,626 as per the given fractions.

GCF of 90,626 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,2419

LCM of Fractions 614/90,2419/626 is 742633

Given numbers has no common factors except 1. So, there LCM is their product i.e 1485266

Least Common Multiple of 614,2419 with GCF Formula

Least Common Multiple of 614,2419 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 614,2419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,2419) = 1

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

GCF(614,2419) x common factors =1 x 1 = 1

LCM(614,2419) = ( 614 × 2419 ) / 1

LCM(614,2419) = 1485266 / 1

LCM(614,2419) = 1485266


Lets's calculate GCF of 90,626

2 90, 626
45, 313

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1485266/2

Therefore the LCM of Fractions 614/90,2419/626 is 742633

Greatest Common Factor of 90,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,626 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 90,626 . The biggest common factor number is the GCF number.
So the greatest common factor 90,626 is 2.


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 614/90, 2419/626

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 614/90, 2419/626?

Answer: LCM of Numerators as per given numbers 614/90, 2419/626 is

LCM of Numerators i.e. for 614,2419 is 1485266

GCF of denominators i.e. for 90,626 is 2.

Thus, LCM of Fractions is 742633.Finally, LCM of Fractions for 614/90, 2419/626 is 742633.