Least Common Multiple of 967/93, 720/39, 991/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 967/93, 720/39, 991/222 quickly i.e. 229991280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 967/93, 720/39, 991/222 is 229991280.

LCM(967/93, 720/39, 991/222) = 229991280

LCM of 967/93, 720/39, 991/222

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 967/93,720/39,991/222

Given numbers are 967/93,720/39,991/222

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 967,720,991

Least Common Multiple of Numerators i.e. LCM of 967,720,991 is 689973840.

GCF of Denominators means GCF of 93,39,222 as per the given fractions.

GCF of 93,39,222 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 967,720,991

LCM of Fractions 967/93,720/39,991/222 is 229991280

Given numbers has no common factors except 1. So, there LCM is their product i.e 689973840

Least Common Multiple of 967,720,991 with GCF Formula

Least Common Multiple of 967,720,991 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 967,720,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,720,991) = 1

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

GCF(967,720,991) x common factors =1 x 1 = 1

LCM(967,720,991) = ( 967 × 720 × 991 ) / 1

LCM(967,720,991) = 689973840 / 1

LCM(967,720,991) = 689973840


Lets's calculate GCF of 93,39,222

3 93, 39, 222
31, 13, 74

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 689973840/3

Therefore the LCM of Fractions 967/93,720/39,991/222 is 229991280

Greatest Common Factor of 93,39,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,39,222 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 93,39,222 . The biggest common factor number is the GCF number.
So the greatest common factor 93,39,222 is 3.


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Frequently Asked Questions on Fractional LCM of 967/93, 720/39, 991/222

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 967/93, 720/39, 991/222?

Answer: LCM of Numerators as per given numbers 967/93, 720/39, 991/222 is

LCM of Numerators i.e. for 967,720,991 is 689973840

GCF of denominators i.e. for 93,39,222 is 3.

Thus, LCM of Fractions is 229991280.Finally, LCM of Fractions for 967/93, 720/39, 991/222 is 229991280.