Least Common Multiple of 58/202, 610/136, 820/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/202, 610/136, 820/350 quickly i.e. 725290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/202, 610/136, 820/350 is 725290.

LCM(58/202, 610/136, 820/350) = 725290

LCM of 58/202, 610/136, 820/350

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 58/202,610/136,820/350

Given numbers are 58/202,610/136,820/350

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 58,610,820

Least Common Multiple of Numerators i.e. LCM of 58,610,820 is 1450580.

GCF of Denominators means GCF of 202,136,350 as per the given fractions.

GCF of 202,136,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,610,820

LCM of Fractions 58/202,610/136,820/350 is 725290

2 58, 610, 820
5 29, 305, 410
29, 61, 82

∴ So the LCM of the given numbers is 2 x 5 x 29 x 61 x 82 = 1450580

Least Common Multiple of 58,610,820 with GCF Formula

Least Common Multiple of 58,610,820 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 58,610,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,610,820) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(58,610,820) x common factors =2 x 10 = 20

LCM(58,610,820) = ( 58 × 610 × 820 ) / 20

LCM(58,610,820) = 29011600 / 20

LCM(58,610,820) = 1450580


Lets's calculate GCF of 202,136,350

2 202, 136, 350
101, 68, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1450580/2

Therefore the LCM of Fractions 58/202,610/136,820/350 is 725290

Greatest Common Factor of 202,136,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,136,350 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 202,136,350 . The biggest common factor number is the GCF number.
So the greatest common factor 202,136,350 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 58/202, 610/136, 820/350

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 58/202, 610/136, 820/350?

Answer: LCM of Numerators as per given numbers 58/202, 610/136, 820/350 is

LCM of Numerators i.e. for 58,610,820 is 1450580

GCF of denominators i.e. for 202,136,350 is 2.

Thus, LCM of Fractions is 725290.Finally, LCM of Fractions for 58/202, 610/136, 820/350 is 725290.