Least Common Multiple of 438/26, 825/7862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/26, 825/7862 quickly i.e. 60225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/26, 825/7862 is 60225.

LCM(438/26, 825/7862) = 60225

LCM of 438/26, 825/7862

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 438/26,825/7862

Given numbers are 438/26,825/7862

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 438,825

Least Common Multiple of Numerators i.e. LCM of 438,825 is 120450.

GCF of Denominators means GCF of 26,7862 as per the given fractions.

GCF of 26,7862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,825

LCM of Fractions 438/26,825/7862 is 60225

3 438, 825
146, 275

∴ So the LCM of the given numbers is 3 x 146 x 275 = 120450

Least Common Multiple of 438,825 with GCF Formula

Least Common Multiple of 438,825 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 438,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,825) = 3

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

GCF(438,825) x common factors =3 x 1 = 3

LCM(438,825) = ( 438 × 825 ) / 3

LCM(438,825) = 361350 / 3

LCM(438,825) = 120450


Lets's calculate GCF of 26,7862

2 26, 7862
13, 3931

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120450/2

Therefore the LCM of Fractions 438/26,825/7862 is 60225

Greatest Common Factor of 26,7862 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,7862 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 7862

List of positive integer factors of 7862 that divides 7862 without a remainder.

1,2,3931,7862

Greatest Common Factor

We found the factors 26,7862 . The biggest common factor number is the GCF number.
So the greatest common factor 26,7862 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 438/26, 825/7862

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 438/26, 825/7862?

Answer: LCM of Numerators as per given numbers 438/26, 825/7862 is

LCM of Numerators i.e. for 438,825 is 120450

GCF of denominators i.e. for 26,7862 is 2.

Thus, LCM of Fractions is 60225.Finally, LCM of Fractions for 438/26, 825/7862 is 60225.