Least Common Multiple of 462/26, 978/3810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/26, 978/3810 quickly i.e. 37653 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/26, 978/3810 is 37653.

LCM(462/26, 978/3810) = 37653

LCM of 462/26, 978/3810

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 462/26,978/3810

Given numbers are 462/26,978/3810

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 462,978

Least Common Multiple of Numerators i.e. LCM of 462,978 is 75306.

GCF of Denominators means GCF of 26,3810 as per the given fractions.

GCF of 26,3810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,978

LCM of Fractions 462/26,978/3810 is 37653

2 462, 978
3 231, 489
77, 163

∴ So the LCM of the given numbers is 2 x 3 x 77 x 163 = 75306

Least Common Multiple of 462,978 with GCF Formula

Least Common Multiple of 462,978 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 462,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,978) = 6

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

GCF(462,978) x common factors =6 x 1 = 6

LCM(462,978) = ( 462 × 978 ) / 6

LCM(462,978) = 451836 / 6

LCM(462,978) = 75306


Lets's calculate GCF of 26,3810

2 26, 3810
13, 1905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75306/2

Therefore the LCM of Fractions 462/26,978/3810 is 37653

Greatest Common Factor of 26,3810 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,3810 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 3810

List of positive integer factors of 3810 that divides 3810 without a remainder.

1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810

Greatest Common Factor

We found the factors 26,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 26,3810 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 462/26, 978/3810

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 462/26, 978/3810?

Answer: LCM of Numerators as per given numbers 462/26, 978/3810 is

LCM of Numerators i.e. for 462,978 is 75306

GCF of denominators i.e. for 26,3810 is 2.

Thus, LCM of Fractions is 37653.Finally, LCM of Fractions for 462/26, 978/3810 is 37653.