Least Common Multiple of 190/151, 604/130, 361/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 190/151, 604/130, 361/968 quickly i.e. 1090220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 190/151, 604/130, 361/968 is 1090220.

LCM(190/151, 604/130, 361/968) = 1090220

LCM of 190/151, 604/130, 361/968

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 190/151,604/130,361/968

Given numbers are 190/151,604/130,361/968

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 190,604,361

Least Common Multiple of Numerators i.e. LCM of 190,604,361 is 1090220.

GCF of Denominators means GCF of 151,130,968 as per the given fractions.

GCF of 151,130,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 190,604,361

LCM of Fractions 190/151,604/130,361/968 is 1090220

2 190, 604, 361
19 95, 302, 361
5, 302, 19

∴ So the LCM of the given numbers is 2 x 19 x 5 x 302 x 19 = 1090220

Least Common Multiple of 190,604,361 with GCF Formula

Least Common Multiple of 190,604,361 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 190,604,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,604,361) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(190,604,361) x common factors =1 x 38 = 38

LCM(190,604,361) = ( 190 × 604 × 361 ) / 38

LCM(190,604,361) = 41428360 / 38

LCM(190,604,361) = 1090220


Lets's calculate GCF of 151,130,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1090220/1

Therefore the LCM of Fractions 190/151,604/130,361/968 is 1090220

Greatest Common Factor of 151,130,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,130,968 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 151,130,968 . The biggest common factor number is the GCF number.
So the greatest common factor 151,130,968 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 190/151, 604/130, 361/968

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 190/151, 604/130, 361/968?

Answer: LCM of Numerators as per given numbers 190/151, 604/130, 361/968 is

LCM of Numerators i.e. for 190,604,361 is 1090220

GCF of denominators i.e. for 151,130,968 is 1.

Thus, LCM of Fractions is 1090220.Finally, LCM of Fractions for 190/151, 604/130, 361/968 is 1090220.