Least Common Multiple of 462/171, 784/427, 121/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/171, 784/427, 121/377 quickly i.e. 284592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/171, 784/427, 121/377 is 284592.

LCM(462/171, 784/427, 121/377) = 284592

LCM of 462/171, 784/427, 121/377

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 462/171,784/427,121/377

Given numbers are 462/171,784/427,121/377

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 462,784,121

Least Common Multiple of Numerators i.e. LCM of 462,784,121 is 284592.

GCF of Denominators means GCF of 171,427,377 as per the given fractions.

GCF of 171,427,377 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,784,121

LCM of Fractions 462/171,784/427,121/377 is 284592

2 462, 784, 121
7 231, 392, 121
11 33, 56, 121
3, 56, 11

∴ So the LCM of the given numbers is 2 x 7 x 11 x 3 x 56 x 11 = 284592

Least Common Multiple of 462,784,121 with GCF Formula

Least Common Multiple of 462,784,121 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 462,784,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,784,121) = 1

common factors(in case of two or more numbers have common factors) = 154

GCF(462,784,121) x common factors =1 x 154 = 154

LCM(462,784,121) = ( 462 × 784 × 121 ) / 154

LCM(462,784,121) = 43827168 / 154

LCM(462,784,121) = 284592


Lets's calculate GCF of 171,427,377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284592/1

Therefore the LCM of Fractions 462/171,784/427,121/377 is 284592

Greatest Common Factor of 171,427,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,427,377 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 171,427,377 . The biggest common factor number is the GCF number.
So the greatest common factor 171,427,377 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 462/171, 784/427, 121/377

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 462/171, 784/427, 121/377?

Answer: LCM of Numerators as per given numbers 462/171, 784/427, 121/377 is

LCM of Numerators i.e. for 462,784,121 is 284592

GCF of denominators i.e. for 171,427,377 is 1.

Thus, LCM of Fractions is 284592.Finally, LCM of Fractions for 462/171, 784/427, 121/377 is 284592.