Least Common Multiple of 3276/614, 3437/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3276/614, 3437/130 quickly i.e. 804258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3276/614, 3437/130 is 804258.

LCM(3276/614, 3437/130) = 804258

LCM of 3276/614, 3437/130

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 3276/614,3437/130

Given numbers are 3276/614,3437/130

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 3276,3437

Least Common Multiple of Numerators i.e. LCM of 3276,3437 is 1608516.

GCF of Denominators means GCF of 614,130 as per the given fractions.

GCF of 614,130 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3276,3437

LCM of Fractions 3276/614,3437/130 is 804258

7 3276, 3437
468, 491

∴ So the LCM of the given numbers is 7 x 468 x 491 = 1608516

Least Common Multiple of 3276,3437 with GCF Formula

Least Common Multiple of 3276,3437 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 3276,3437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3276,3437) = 7

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

GCF(3276,3437) x common factors =7 x 1 = 7

LCM(3276,3437) = ( 3276 × 3437 ) / 7

LCM(3276,3437) = 11259612 / 7

LCM(3276,3437) = 1608516


Lets's calculate GCF of 614,130

2 614, 130
307, 65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1608516/2

Therefore the LCM of Fractions 3276/614,3437/130 is 804258

Greatest Common Factor of 614,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,130 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 614,130 . The biggest common factor number is the GCF number.
So the greatest common factor 614,130 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 3276/614, 3437/130

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 3276/614, 3437/130?

Answer: LCM of Numerators as per given numbers 3276/614, 3437/130 is

LCM of Numerators i.e. for 3276,3437 is 1608516

GCF of denominators i.e. for 614,130 is 2.

Thus, LCM of Fractions is 804258.Finally, LCM of Fractions for 3276/614, 3437/130 is 804258.