Least Common Multiple of 87/700, 41/818, 363/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/700, 41/818, 363/904 quickly i.e. 431607/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/700, 41/818, 363/904 is 431607/2.

LCM(87/700, 41/818, 363/904) = 431607/2

LCM of 87/700, 41/818, 363/904

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 87/700,41/818,363/904

Given numbers are 87/700,41/818,363/904

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 87,41,363

Least Common Multiple of Numerators i.e. LCM of 87,41,363 is 431607.

GCF of Denominators means GCF of 700,818,904 as per the given fractions.

GCF of 700,818,904 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,41,363

LCM of Fractions 87/700,41/818,363/904 is 431607/2

3 87, 41, 363
29, 41, 121

∴ So the LCM of the given numbers is 3 x 29 x 41 x 121 = 431607

Least Common Multiple of 87,41,363 with GCF Formula

Least Common Multiple of 87,41,363 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 87,41,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,41,363) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,41,363) x common factors =1 x 3 = 3

LCM(87,41,363) = ( 87 × 41 × 363 ) / 3

LCM(87,41,363) = 1294821 / 3

LCM(87,41,363) = 431607


Lets's calculate GCF of 700,818,904

2 700, 818, 904
350, 409, 452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 431607/2

Therefore the LCM of Fractions 87/700,41/818,363/904 is 431607/2

Greatest Common Factor of 700,818,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,818,904 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 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 700,818,904 . The biggest common factor number is the GCF number.
So the greatest common factor 700,818,904 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 87/700, 41/818, 363/904

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 87/700, 41/818, 363/904?

Answer: LCM of Numerators as per given numbers 87/700, 41/818, 363/904 is

LCM of Numerators i.e. for 87,41,363 is 431607

GCF of denominators i.e. for 700,818,904 is 2.

Thus, LCM of Fractions is 431607/2.Finally, LCM of Fractions for 87/700, 41/818, 363/904 is 431607/2.