Least Common Multiple of 65/514, 60/331, 677/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/514, 60/331, 677/448 quickly i.e. 528060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/514, 60/331, 677/448 is 528060.

LCM(65/514, 60/331, 677/448) = 528060

LCM of 65/514, 60/331, 677/448

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 65/514,60/331,677/448

Given numbers are 65/514,60/331,677/448

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 65,60,677

Least Common Multiple of Numerators i.e. LCM of 65,60,677 is 528060.

GCF of Denominators means GCF of 514,331,448 as per the given fractions.

GCF of 514,331,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,60,677

LCM of Fractions 65/514,60/331,677/448 is 528060

5 65, 60, 677
13, 12, 677

∴ So the LCM of the given numbers is 5 x 13 x 12 x 677 = 528060

Least Common Multiple of 65,60,677 with GCF Formula

Least Common Multiple of 65,60,677 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 65,60,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,60,677) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,60,677) x common factors =1 x 5 = 5

LCM(65,60,677) = ( 65 × 60 × 677 ) / 5

LCM(65,60,677) = 2640300 / 5

LCM(65,60,677) = 528060


Lets's calculate GCF of 514,331,448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528060/1

Therefore the LCM of Fractions 65/514,60/331,677/448 is 528060

Greatest Common Factor of 514,331,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,331,448 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

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

Greatest Common Factor

We found the factors 514,331,448 . The biggest common factor number is the GCF number.
So the greatest common factor 514,331,448 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 65/514, 60/331, 677/448

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 65/514, 60/331, 677/448?

Answer: LCM of Numerators as per given numbers 65/514, 60/331, 677/448 is

LCM of Numerators i.e. for 65,60,677 is 528060

GCF of denominators i.e. for 514,331,448 is 1.

Thus, LCM of Fractions is 528060.Finally, LCM of Fractions for 65/514, 60/331, 677/448 is 528060.