Least Common Multiple of 426/35, 216/1325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/35, 216/1325 quickly i.e. 15336/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/35, 216/1325 is 15336/5.

LCM(426/35, 216/1325) = 15336/5

LCM of 426/35, 216/1325

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 426/35,216/1325

Given numbers are 426/35,216/1325

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 426,216

Least Common Multiple of Numerators i.e. LCM of 426,216 is 15336.

GCF of Denominators means GCF of 35,1325 as per the given fractions.

GCF of 35,1325 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,216

LCM of Fractions 426/35,216/1325 is 15336/5

2 426, 216
3 213, 108
71, 36

∴ So the LCM of the given numbers is 2 x 3 x 71 x 36 = 15336

Least Common Multiple of 426,216 with GCF Formula

Least Common Multiple of 426,216 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 426,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,216) = 6

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

GCF(426,216) x common factors =6 x 1 = 6

LCM(426,216) = ( 426 × 216 ) / 6

LCM(426,216) = 92016 / 6

LCM(426,216) = 15336


Lets's calculate GCF of 35,1325

5 35, 1325
7, 265

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15336/5

Therefore the LCM of Fractions 426/35,216/1325 is 15336/5

Greatest Common Factor of 35,1325 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,1325 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 1325

List of positive integer factors of 1325 that divides 1325 without a remainder.

1,5,25,53,265,1325

Greatest Common Factor

We found the factors 35,1325 . The biggest common factor number is the GCF number.
So the greatest common factor 35,1325 is 5.


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 426/35, 216/1325

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 426/35, 216/1325?

Answer: LCM of Numerators as per given numbers 426/35, 216/1325 is

LCM of Numerators i.e. for 426,216 is 15336

GCF of denominators i.e. for 35,1325 is 5.

Thus, LCM of Fractions is 15336/5.Finally, LCM of Fractions for 426/35, 216/1325 is 15336/5.