Least Common Multiple of 87/457, 807/411, 216/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/457, 807/411, 216/338 quickly i.e. 1685016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/457, 807/411, 216/338 is 1685016.

LCM(87/457, 807/411, 216/338) = 1685016

LCM of 87/457, 807/411, 216/338

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 87/457,807/411,216/338

Given numbers are 87/457,807/411,216/338

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 87,807,216

Least Common Multiple of Numerators i.e. LCM of 87,807,216 is 1685016.

GCF of Denominators means GCF of 457,411,338 as per the given fractions.

GCF of 457,411,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,807,216

LCM of Fractions 87/457,807/411,216/338 is 1685016

3 87, 807, 216
29, 269, 72

∴ So the LCM of the given numbers is 3 x 29 x 269 x 72 = 1685016

Least Common Multiple of 87,807,216 with GCF Formula

Least Common Multiple of 87,807,216 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 87,807,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,807,216) = 3

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

GCF(87,807,216) x common factors =3 x 3 = 9

LCM(87,807,216) = ( 87 × 807 × 216 ) / 9

LCM(87,807,216) = 15165144 / 9

LCM(87,807,216) = 1685016


Lets's calculate GCF of 457,411,338

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1685016/1

Therefore the LCM of Fractions 87/457,807/411,216/338 is 1685016

Greatest Common Factor of 457,411,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,411,338 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 457,411,338 . The biggest common factor number is the GCF number.
So the greatest common factor 457,411,338 is 1.


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 87/457, 807/411, 216/338

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 87/457, 807/411, 216/338?

Answer: LCM of Numerators as per given numbers 87/457, 807/411, 216/338 is

LCM of Numerators i.e. for 87,807,216 is 1685016

GCF of denominators i.e. for 457,411,338 is 1.

Thus, LCM of Fractions is 1685016.Finally, LCM of Fractions for 87/457, 807/411, 216/338 is 1685016.