Least Common Multiple of 7/31, 9/35, 31/19, 53/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/31, 9/35, 31/19, 53/120 quickly i.e. 103509 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/31, 9/35, 31/19, 53/120 is 103509.

LCM(7/31, 9/35, 31/19, 53/120) = 103509

LCM of 7/31, 9/35, 31/19, 53/120

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 7/31,9/35,31/19,53/120

Given numbers are 7/31,9/35,31/19,53/120

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 7,9,31,53

Least Common Multiple of Numerators i.e. LCM of 7,9,31,53 is 103509.

GCF of Denominators means GCF of 31,35,19,120 as per the given fractions.

GCF of 31,35,19,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,9,31,53

LCM of Fractions 7/31,9/35,31/19,53/120 is 103509

Given numbers has no common factors except 1. So, there LCM is their product i.e 103509

Least Common Multiple of 7,9,31,53 with GCF Formula

Least Common Multiple of 7,9,31,53 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 7,9,31,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,9,31,53) = 1

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

GCF(7,9,31,53) x common factors =1 x 1 = 1

LCM(7,9,31,53) = ( 7 × 9 × 31 × 53 ) / 1

LCM(7,9,31,53) = 103509 / 1

LCM(7,9,31,53) = 103509


Lets's calculate GCF of 31,35,19,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103509/1

Therefore the LCM of Fractions 7/31,9/35,31/19,53/120 is 103509

Greatest Common Factor of 31,35,19,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,35,19,120 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 31,35,19,120 . The biggest common factor number is the GCF number.
So the greatest common factor 31,35,19,120 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 7/31, 9/35, 31/19, 53/120

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 7/31, 9/35, 31/19, 53/120?

Answer: LCM of Numerators as per given numbers 7/31, 9/35, 31/19, 53/120 is

LCM of Numerators i.e. for 7,9,31,53 is 103509

GCF of denominators i.e. for 31,35,19,120 is 1.

Thus, LCM of Fractions is 103509.Finally, LCM of Fractions for 7/31, 9/35, 31/19, 53/120 is 103509.