Least Common Multiple of 82/155, 429/448, 787/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/155, 429/448, 787/420 quickly i.e. 27685086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/155, 429/448, 787/420 is 27685086.

LCM(82/155, 429/448, 787/420) = 27685086

LCM of 82/155, 429/448, 787/420

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 82/155,429/448,787/420

Given numbers are 82/155,429/448,787/420

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 82,429,787

Least Common Multiple of Numerators i.e. LCM of 82,429,787 is 27685086.

GCF of Denominators means GCF of 155,448,420 as per the given fractions.

GCF of 155,448,420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,429,787

LCM of Fractions 82/155,429/448,787/420 is 27685086

Given numbers has no common factors except 1. So, there LCM is their product i.e 27685086

Least Common Multiple of 82,429,787 with GCF Formula

Least Common Multiple of 82,429,787 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 82,429,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,429,787) = 1

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

GCF(82,429,787) x common factors =1 x 1 = 1

LCM(82,429,787) = ( 82 × 429 × 787 ) / 1

LCM(82,429,787) = 27685086 / 1

LCM(82,429,787) = 27685086


Lets's calculate GCF of 155,448,420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27685086/1

Therefore the LCM of Fractions 82/155,429/448,787/420 is 27685086

Greatest Common Factor of 155,448,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,448,420 By Matching Biggest Common Factor Method

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 155,448,420 . The biggest common factor number is the GCF number.
So the greatest common factor 155,448,420 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 82/155, 429/448, 787/420

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 82/155, 429/448, 787/420?

Answer: LCM of Numerators as per given numbers 82/155, 429/448, 787/420 is

LCM of Numerators i.e. for 82,429,787 is 27685086

GCF of denominators i.e. for 155,448,420 is 1.

Thus, LCM of Fractions is 27685086.Finally, LCM of Fractions for 82/155, 429/448, 787/420 is 27685086.