Least Common Multiple of 58/141, 276/245, 505/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/141, 276/245, 505/449 quickly i.e. 4042020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/141, 276/245, 505/449 is 4042020.

LCM(58/141, 276/245, 505/449) = 4042020

LCM of 58/141, 276/245, 505/449

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 58/141,276/245,505/449

Given numbers are 58/141,276/245,505/449

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 58,276,505

Least Common Multiple of Numerators i.e. LCM of 58,276,505 is 4042020.

GCF of Denominators means GCF of 141,245,449 as per the given fractions.

GCF of 141,245,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,276,505

LCM of Fractions 58/141,276/245,505/449 is 4042020

2 58, 276, 505
29, 138, 505

∴ So the LCM of the given numbers is 2 x 29 x 138 x 505 = 4042020

Least Common Multiple of 58,276,505 with GCF Formula

Least Common Multiple of 58,276,505 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 58,276,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,276,505) = 1

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

GCF(58,276,505) x common factors =1 x 2 = 2

LCM(58,276,505) = ( 58 × 276 × 505 ) / 2

LCM(58,276,505) = 8084040 / 2

LCM(58,276,505) = 4042020


Lets's calculate GCF of 141,245,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4042020/1

Therefore the LCM of Fractions 58/141,276/245,505/449 is 4042020

Greatest Common Factor of 141,245,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,245,449 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 141,245,449 . The biggest common factor number is the GCF number.
So the greatest common factor 141,245,449 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 58/141, 276/245, 505/449

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 58/141, 276/245, 505/449?

Answer: LCM of Numerators as per given numbers 58/141, 276/245, 505/449 is

LCM of Numerators i.e. for 58,276,505 is 4042020

GCF of denominators i.e. for 141,245,449 is 1.

Thus, LCM of Fractions is 4042020.Finally, LCM of Fractions for 58/141, 276/245, 505/449 is 4042020.