Least Common Multiple of 29/370, 59/875, 869/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/370, 59/875, 869/741 quickly i.e. 1486859 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/370, 59/875, 869/741 is 1486859.

LCM(29/370, 59/875, 869/741) = 1486859

LCM of 29/370, 59/875, 869/741

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 29/370,59/875,869/741

Given numbers are 29/370,59/875,869/741

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 29,59,869

Least Common Multiple of Numerators i.e. LCM of 29,59,869 is 1486859.

GCF of Denominators means GCF of 370,875,741 as per the given fractions.

GCF of 370,875,741 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,59,869

LCM of Fractions 29/370,59/875,869/741 is 1486859

Given numbers has no common factors except 1. So, there LCM is their product i.e 1486859

Least Common Multiple of 29,59,869 with GCF Formula

Least Common Multiple of 29,59,869 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 29,59,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,59,869) = 1

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

GCF(29,59,869) x common factors =1 x 1 = 1

LCM(29,59,869) = ( 29 × 59 × 869 ) / 1

LCM(29,59,869) = 1486859 / 1

LCM(29,59,869) = 1486859


Lets's calculate GCF of 370,875,741

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1486859/1

Therefore the LCM of Fractions 29/370,59/875,869/741 is 1486859

Greatest Common Factor of 370,875,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,875,741 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 370,875,741 . The biggest common factor number is the GCF number.
So the greatest common factor 370,875,741 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 29/370, 59/875, 869/741

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 29/370, 59/875, 869/741?

Answer: LCM of Numerators as per given numbers 29/370, 59/875, 869/741 is

LCM of Numerators i.e. for 29,59,869 is 1486859

GCF of denominators i.e. for 370,875,741 is 1.

Thus, LCM of Fractions is 1486859.Finally, LCM of Fractions for 29/370, 59/875, 869/741 is 1486859.