Least Common Multiple of 190/718, 5701/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 190/718, 5701/460 quickly i.e. 541595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 190/718, 5701/460 is 541595.

LCM(190/718, 5701/460) = 541595

LCM of 190/718, 5701/460

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 190/718,5701/460

Given numbers are 190/718,5701/460

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 190,5701

Least Common Multiple of Numerators i.e. LCM of 190,5701 is 1083190.

GCF of Denominators means GCF of 718,460 as per the given fractions.

GCF of 718,460 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 190,5701

LCM of Fractions 190/718,5701/460 is 541595

Given numbers has no common factors except 1. So, there LCM is their product i.e 1083190

Least Common Multiple of 190,5701 with GCF Formula

Least Common Multiple of 190,5701 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 190,5701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,5701) = 1

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

GCF(190,5701) x common factors =1 x 1 = 1

LCM(190,5701) = ( 190 × 5701 ) / 1

LCM(190,5701) = 1083190 / 1

LCM(190,5701) = 1083190


Lets's calculate GCF of 718,460

2 718, 460
359, 230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1083190/2

Therefore the LCM of Fractions 190/718,5701/460 is 541595

Greatest Common Factor of 718,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,460 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

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 718,460 . The biggest common factor number is the GCF number.
So the greatest common factor 718,460 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 190/718, 5701/460

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 190/718, 5701/460?

Answer: LCM of Numerators as per given numbers 190/718, 5701/460 is

LCM of Numerators i.e. for 190,5701 is 1083190

GCF of denominators i.e. for 718,460 is 2.

Thus, LCM of Fractions is 541595.Finally, LCM of Fractions for 190/718, 5701/460 is 541595.