Least Common Multiple of 544/62, 164/56, 401/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/62, 164/56, 401/560 quickly i.e. 4471952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/62, 164/56, 401/560 is 4471952.

LCM(544/62, 164/56, 401/560) = 4471952

LCM of 544/62, 164/56, 401/560

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 544/62,164/56,401/560

Given numbers are 544/62,164/56,401/560

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 544,164,401

Least Common Multiple of Numerators i.e. LCM of 544,164,401 is 8943904.

GCF of Denominators means GCF of 62,56,560 as per the given fractions.

GCF of 62,56,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,164,401

LCM of Fractions 544/62,164/56,401/560 is 4471952

2 544, 164, 401
2 272, 82, 401
136, 41, 401

∴ So the LCM of the given numbers is 2 x 2 x 136 x 41 x 401 = 8943904

Least Common Multiple of 544,164,401 with GCF Formula

Least Common Multiple of 544,164,401 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 544,164,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,164,401) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(544,164,401) x common factors =1 x 4 = 4

LCM(544,164,401) = ( 544 × 164 × 401 ) / 4

LCM(544,164,401) = 35775616 / 4

LCM(544,164,401) = 8943904


Lets's calculate GCF of 62,56,560

2 62, 56, 560
31, 28, 280

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8943904/2

Therefore the LCM of Fractions 544/62,164/56,401/560 is 4471952

Greatest Common Factor of 62,56,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,56,560 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 62,56,560 . The biggest common factor number is the GCF number.
So the greatest common factor 62,56,560 is 2.


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 544/62, 164/56, 401/560

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 544/62, 164/56, 401/560?

Answer: LCM of Numerators as per given numbers 544/62, 164/56, 401/560 is

LCM of Numerators i.e. for 544,164,401 is 8943904

GCF of denominators i.e. for 62,56,560 is 2.

Thus, LCM of Fractions is 4471952.Finally, LCM of Fractions for 544/62, 164/56, 401/560 is 4471952.