Least Common Multiple of 31/91, 190/55, 520/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/91, 190/55, 520/170 quickly i.e. 306280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/91, 190/55, 520/170 is 306280.

LCM(31/91, 190/55, 520/170) = 306280

LCM of 31/91, 190/55, 520/170

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 31/91,190/55,520/170

Given numbers are 31/91,190/55,520/170

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 31,190,520

Least Common Multiple of Numerators i.e. LCM of 31,190,520 is 306280.

GCF of Denominators means GCF of 91,55,170 as per the given fractions.

GCF of 91,55,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,190,520

LCM of Fractions 31/91,190/55,520/170 is 306280

2 31, 190, 520
5 31, 95, 260
31, 19, 52

∴ So the LCM of the given numbers is 2 x 5 x 31 x 19 x 52 = 306280

Least Common Multiple of 31,190,520 with GCF Formula

Least Common Multiple of 31,190,520 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 31,190,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,190,520) = 1

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

GCF(31,190,520) x common factors =1 x 10 = 10

LCM(31,190,520) = ( 31 × 190 × 520 ) / 10

LCM(31,190,520) = 3062800 / 10

LCM(31,190,520) = 306280


Lets's calculate GCF of 91,55,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306280/1

Therefore the LCM of Fractions 31/91,190/55,520/170 is 306280

Greatest Common Factor of 91,55,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,55,170 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 91,55,170 . The biggest common factor number is the GCF number.
So the greatest common factor 91,55,170 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 31/91, 190/55, 520/170

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 31/91, 190/55, 520/170?

Answer: LCM of Numerators as per given numbers 31/91, 190/55, 520/170 is

LCM of Numerators i.e. for 31,190,520 is 306280

GCF of denominators i.e. for 91,55,170 is 1.

Thus, LCM of Fractions is 306280.Finally, LCM of Fractions for 31/91, 190/55, 520/170 is 306280.