Least Common Multiple of 40/700, 35/110, 810/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/700, 35/110, 810/324 quickly i.e. 11340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/700, 35/110, 810/324 is 11340.

LCM(40/700, 35/110, 810/324) = 11340

LCM of 40/700, 35/110, 810/324

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 40/700,35/110,810/324

Given numbers are 40/700,35/110,810/324

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 40,35,810

Least Common Multiple of Numerators i.e. LCM of 40,35,810 is 22680.

GCF of Denominators means GCF of 700,110,324 as per the given fractions.

GCF of 700,110,324 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,35,810

LCM of Fractions 40/700,35/110,810/324 is 11340

2 40, 35, 810
5 20, 35, 405
4, 7, 81

∴ So the LCM of the given numbers is 2 x 5 x 4 x 7 x 81 = 22680

Least Common Multiple of 40,35,810 with GCF Formula

Least Common Multiple of 40,35,810 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 40,35,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,35,810) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(40,35,810) x common factors =5 x 10 = 50

LCM(40,35,810) = ( 40 × 35 × 810 ) / 50

LCM(40,35,810) = 1134000 / 50

LCM(40,35,810) = 22680


Lets's calculate GCF of 700,110,324

2 700, 110, 324
350, 55, 162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22680/2

Therefore the LCM of Fractions 40/700,35/110,810/324 is 11340

Greatest Common Factor of 700,110,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,110,324 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 700,110,324 . The biggest common factor number is the GCF number.
So the greatest common factor 700,110,324 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 40/700, 35/110, 810/324

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 40/700, 35/110, 810/324?

Answer: LCM of Numerators as per given numbers 40/700, 35/110, 810/324 is

LCM of Numerators i.e. for 40,35,810 is 22680

GCF of denominators i.e. for 700,110,324 is 2.

Thus, LCM of Fractions is 11340.Finally, LCM of Fractions for 40/700, 35/110, 810/324 is 11340.