Least Common Multiple of 99/70, 31/37, 31/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/70, 31/37, 31/67 quickly i.e. 3069 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/70, 31/37, 31/67 is 3069.

LCM(99/70, 31/37, 31/67) = 3069

LCM of 99/70, 31/37, 31/67

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 99/70,31/37,31/67

Given numbers are 99/70,31/37,31/67

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 99,31,31

Least Common Multiple of Numerators i.e. LCM of 99,31,31 is 3069.

GCF of Denominators means GCF of 70,37,67 as per the given fractions.

GCF of 70,37,67 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,31,31

LCM of Fractions 99/70,31/37,31/67 is 3069

31 99, 31, 31
99, 1, 1

∴ So the LCM of the given numbers is 31 x 99 x 1 x 1 = 3069

Least Common Multiple of 99,31,31 with GCF Formula

Least Common Multiple of 99,31,31 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 99,31,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,31,31) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(99,31,31) x common factors =1 x 31 = 31

LCM(99,31,31) = ( 99 × 31 × 31 ) / 31

LCM(99,31,31) = 95139 / 31

LCM(99,31,31) = 3069


Lets's calculate GCF of 70,37,67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3069/1

Therefore the LCM of Fractions 99/70,31/37,31/67 is 3069

Greatest Common Factor of 70,37,67 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,37,67 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Greatest Common Factor

We found the factors 70,37,67 . The biggest common factor number is the GCF number.
So the greatest common factor 70,37,67 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 99/70, 31/37, 31/67

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 99/70, 31/37, 31/67?

Answer: LCM of Numerators as per given numbers 99/70, 31/37, 31/67 is

LCM of Numerators i.e. for 99,31,31 is 3069

GCF of denominators i.e. for 70,37,67 is 1.

Thus, LCM of Fractions is 3069.Finally, LCM of Fractions for 99/70, 31/37, 31/67 is 3069.