Least Common Multiple of 54/59, 697/54, 220/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/59, 697/54, 220/734 quickly i.e. 4140180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/59, 697/54, 220/734 is 4140180.

LCM(54/59, 697/54, 220/734) = 4140180

LCM of 54/59, 697/54, 220/734

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 54/59,697/54,220/734

Given numbers are 54/59,697/54,220/734

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 54,697,220

Least Common Multiple of Numerators i.e. LCM of 54,697,220 is 4140180.

GCF of Denominators means GCF of 59,54,734 as per the given fractions.

GCF of 59,54,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,697,220

LCM of Fractions 54/59,697/54,220/734 is 4140180

2 54, 697, 220
27, 697, 110

∴ So the LCM of the given numbers is 2 x 27 x 697 x 110 = 4140180

Least Common Multiple of 54,697,220 with GCF Formula

Least Common Multiple of 54,697,220 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 54,697,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,697,220) = 1

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

GCF(54,697,220) x common factors =1 x 2 = 2

LCM(54,697,220) = ( 54 × 697 × 220 ) / 2

LCM(54,697,220) = 8280360 / 2

LCM(54,697,220) = 4140180


Lets's calculate GCF of 59,54,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4140180/1

Therefore the LCM of Fractions 54/59,697/54,220/734 is 4140180

Greatest Common Factor of 59,54,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,54,734 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 59,54,734 . The biggest common factor number is the GCF number.
So the greatest common factor 59,54,734 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 54/59, 697/54, 220/734

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 54/59, 697/54, 220/734?

Answer: LCM of Numerators as per given numbers 54/59, 697/54, 220/734 is

LCM of Numerators i.e. for 54,697,220 is 4140180

GCF of denominators i.e. for 59,54,734 is 1.

Thus, LCM of Fractions is 4140180.Finally, LCM of Fractions for 54/59, 697/54, 220/734 is 4140180.