Least Common Multiple of 59/210, 29/361, 860/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/210, 29/361, 860/126 quickly i.e. 1471460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/210, 29/361, 860/126 is 1471460.

LCM(59/210, 29/361, 860/126) = 1471460

LCM of 59/210, 29/361, 860/126

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 59/210,29/361,860/126

Given numbers are 59/210,29/361,860/126

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 59,29,860

Least Common Multiple of Numerators i.e. LCM of 59,29,860 is 1471460.

GCF of Denominators means GCF of 210,361,126 as per the given fractions.

GCF of 210,361,126 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,29,860

LCM of Fractions 59/210,29/361,860/126 is 1471460

Given numbers has no common factors except 1. So, there LCM is their product i.e 1471460

Least Common Multiple of 59,29,860 with GCF Formula

Least Common Multiple of 59,29,860 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 59,29,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,29,860) = 1

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

GCF(59,29,860) x common factors =1 x 1 = 1

LCM(59,29,860) = ( 59 × 29 × 860 ) / 1

LCM(59,29,860) = 1471460 / 1

LCM(59,29,860) = 1471460


Lets's calculate GCF of 210,361,126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1471460/1

Therefore the LCM of Fractions 59/210,29/361,860/126 is 1471460

Greatest Common Factor of 210,361,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,361,126 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 210,361,126 . The biggest common factor number is the GCF number.
So the greatest common factor 210,361,126 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 59/210, 29/361, 860/126

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 59/210, 29/361, 860/126?

Answer: LCM of Numerators as per given numbers 59/210, 29/361, 860/126 is

LCM of Numerators i.e. for 59,29,860 is 1471460

GCF of denominators i.e. for 210,361,126 is 1.

Thus, LCM of Fractions is 1471460.Finally, LCM of Fractions for 59/210, 29/361, 860/126 is 1471460.