Least Common Multiple of 30/840, 31/177, 190/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/840, 31/177, 190/635 quickly i.e. 17670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/840, 31/177, 190/635 is 17670.

LCM(30/840, 31/177, 190/635) = 17670

LCM of 30/840, 31/177, 190/635

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 30/840,31/177,190/635

Given numbers are 30/840,31/177,190/635

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 30,31,190

Least Common Multiple of Numerators i.e. LCM of 30,31,190 is 17670.

GCF of Denominators means GCF of 840,177,635 as per the given fractions.

GCF of 840,177,635 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,31,190

LCM of Fractions 30/840,31/177,190/635 is 17670

2 30, 31, 190
5 15, 31, 95
3, 31, 19

∴ So the LCM of the given numbers is 2 x 5 x 3 x 31 x 19 = 17670

Least Common Multiple of 30,31,190 with GCF Formula

Least Common Multiple of 30,31,190 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 30,31,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,31,190) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(30,31,190) x common factors =1 x 10 = 10

LCM(30,31,190) = ( 30 × 31 × 190 ) / 10

LCM(30,31,190) = 176700 / 10

LCM(30,31,190) = 17670


Lets's calculate GCF of 840,177,635

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17670/1

Therefore the LCM of Fractions 30/840,31/177,190/635 is 17670

Greatest Common Factor of 840,177,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,177,635 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 840,177,635 . The biggest common factor number is the GCF number.
So the greatest common factor 840,177,635 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 30/840, 31/177, 190/635

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 30/840, 31/177, 190/635?

Answer: LCM of Numerators as per given numbers 30/840, 31/177, 190/635 is

LCM of Numerators i.e. for 30,31,190 is 17670

GCF of denominators i.e. for 840,177,635 is 1.

Thus, LCM of Fractions is 17670.Finally, LCM of Fractions for 30/840, 31/177, 190/635 is 17670.