Least Common Multiple of 220/58, 429/5726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 220/58, 429/5726 quickly i.e. 4290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 220/58, 429/5726 is 4290.

LCM(220/58, 429/5726) = 4290

LCM of 220/58, 429/5726

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 220/58,429/5726

Given numbers are 220/58,429/5726

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 220,429

Least Common Multiple of Numerators i.e. LCM of 220,429 is 8580.

GCF of Denominators means GCF of 58,5726 as per the given fractions.

GCF of 58,5726 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 220,429

LCM of Fractions 220/58,429/5726 is 4290

11 220, 429
20, 39

∴ So the LCM of the given numbers is 11 x 20 x 39 = 8580

Least Common Multiple of 220,429 with GCF Formula

Least Common Multiple of 220,429 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 220,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,429) = 11

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

GCF(220,429) x common factors =11 x 1 = 11

LCM(220,429) = ( 220 × 429 ) / 11

LCM(220,429) = 94380 / 11

LCM(220,429) = 8580


Lets's calculate GCF of 58,5726

2 58, 5726
29, 2863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8580/2

Therefore the LCM of Fractions 220/58,429/5726 is 4290

Greatest Common Factor of 58,5726 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,5726 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 5726

List of positive integer factors of 5726 that divides 5726 without a remainder.

1,2,7,14,409,818,2863,5726

Greatest Common Factor

We found the factors 58,5726 . The biggest common factor number is the GCF number.
So the greatest common factor 58,5726 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 220/58, 429/5726

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 220/58, 429/5726?

Answer: LCM of Numerators as per given numbers 220/58, 429/5726 is

LCM of Numerators i.e. for 220,429 is 8580

GCF of denominators i.e. for 58,5726 is 2.

Thus, LCM of Fractions is 4290.Finally, LCM of Fractions for 220/58, 429/5726 is 4290.