Least Common Multiple of 740/250, 469/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 740/250, 469/460 quickly i.e. 34706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 740/250, 469/460 is 34706.

LCM(740/250, 469/460) = 34706

LCM of 740/250, 469/460

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 740/250,469/460

Given numbers are 740/250,469/460

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 740,469

Least Common Multiple of Numerators i.e. LCM of 740,469 is 347060.

GCF of Denominators means GCF of 250,460 as per the given fractions.

GCF of 250,460 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 740,469

LCM of Fractions 740/250,469/460 is 34706

Given numbers has no common factors except 1. So, there LCM is their product i.e 347060

Least Common Multiple of 740,469 with GCF Formula

Least Common Multiple of 740,469 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 740,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,469) = 1

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

GCF(740,469) x common factors =1 x 1 = 1

LCM(740,469) = ( 740 × 469 ) / 1

LCM(740,469) = 347060 / 1

LCM(740,469) = 347060


Lets's calculate GCF of 250,460

2 250, 460
5 125, 230
25, 46

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347060/10

Therefore the LCM of Fractions 740/250,469/460 is 34706

Greatest Common Factor of 250,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,460 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 250,460 . The biggest common factor number is the GCF number.
So the greatest common factor 250,460 is 10.


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 740/250, 469/460

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 740/250, 469/460?

Answer: LCM of Numerators as per given numbers 740/250, 469/460 is

LCM of Numerators i.e. for 740,469 is 347060

GCF of denominators i.e. for 250,460 is 10.

Thus, LCM of Fractions is 34706.Finally, LCM of Fractions for 740/250, 469/460 is 34706.