Least Common Multiple of 53/545, 64/601, 682/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/545, 64/601, 682/736 quickly i.e. 1156672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/545, 64/601, 682/736 is 1156672.

LCM(53/545, 64/601, 682/736) = 1156672

LCM of 53/545, 64/601, 682/736

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 53/545,64/601,682/736

Given numbers are 53/545,64/601,682/736

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 53,64,682

Least Common Multiple of Numerators i.e. LCM of 53,64,682 is 1156672.

GCF of Denominators means GCF of 545,601,736 as per the given fractions.

GCF of 545,601,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,64,682

LCM of Fractions 53/545,64/601,682/736 is 1156672

2 53, 64, 682
53, 32, 341

∴ So the LCM of the given numbers is 2 x 53 x 32 x 341 = 1156672

Least Common Multiple of 53,64,682 with GCF Formula

Least Common Multiple of 53,64,682 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 53,64,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,64,682) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,64,682) x common factors =1 x 2 = 2

LCM(53,64,682) = ( 53 × 64 × 682 ) / 2

LCM(53,64,682) = 2313344 / 2

LCM(53,64,682) = 1156672


Lets's calculate GCF of 545,601,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1156672/1

Therefore the LCM of Fractions 53/545,64/601,682/736 is 1156672

Greatest Common Factor of 545,601,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,601,736 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 545,601,736 . The biggest common factor number is the GCF number.
So the greatest common factor 545,601,736 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 53/545, 64/601, 682/736

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 53/545, 64/601, 682/736?

Answer: LCM of Numerators as per given numbers 53/545, 64/601, 682/736 is

LCM of Numerators i.e. for 53,64,682 is 1156672

GCF of denominators i.e. for 545,601,736 is 1.

Thus, LCM of Fractions is 1156672.Finally, LCM of Fractions for 53/545, 64/601, 682/736 is 1156672.