Least Common Multiple of 67/492, 62/441, 145/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/492, 62/441, 145/377 quickly i.e. 602330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/492, 62/441, 145/377 is 602330.

LCM(67/492, 62/441, 145/377) = 602330

LCM of 67/492, 62/441, 145/377

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 67/492,62/441,145/377

Given numbers are 67/492,62/441,145/377

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 67,62,145

Least Common Multiple of Numerators i.e. LCM of 67,62,145 is 602330.

GCF of Denominators means GCF of 492,441,377 as per the given fractions.

GCF of 492,441,377 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,62,145

LCM of Fractions 67/492,62/441,145/377 is 602330

Given numbers has no common factors except 1. So, there LCM is their product i.e 602330

Least Common Multiple of 67,62,145 with GCF Formula

Least Common Multiple of 67,62,145 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 67,62,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,62,145) = 1

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

GCF(67,62,145) x common factors =1 x 1 = 1

LCM(67,62,145) = ( 67 × 62 × 145 ) / 1

LCM(67,62,145) = 602330 / 1

LCM(67,62,145) = 602330


Lets's calculate GCF of 492,441,377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 602330/1

Therefore the LCM of Fractions 67/492,62/441,145/377 is 602330

Greatest Common Factor of 492,441,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,441,377 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

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 492,441,377 . The biggest common factor number is the GCF number.
So the greatest common factor 492,441,377 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 67/492, 62/441, 145/377

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 67/492, 62/441, 145/377?

Answer: LCM of Numerators as per given numbers 67/492, 62/441, 145/377 is

LCM of Numerators i.e. for 67,62,145 is 602330

GCF of denominators i.e. for 492,441,377 is 1.

Thus, LCM of Fractions is 602330.Finally, LCM of Fractions for 67/492, 62/441, 145/377 is 602330.