Least Common Multiple of 749/82, 328/97, 401/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/82, 328/97, 401/222 quickly i.e. 98514472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/82, 328/97, 401/222 is 98514472.

LCM(749/82, 328/97, 401/222) = 98514472

LCM of 749/82, 328/97, 401/222

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 749/82,328/97,401/222

Given numbers are 749/82,328/97,401/222

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 749,328,401

Least Common Multiple of Numerators i.e. LCM of 749,328,401 is 98514472.

GCF of Denominators means GCF of 82,97,222 as per the given fractions.

GCF of 82,97,222 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,328,401

LCM of Fractions 749/82,328/97,401/222 is 98514472

Given numbers has no common factors except 1. So, there LCM is their product i.e 98514472

Least Common Multiple of 749,328,401 with GCF Formula

Least Common Multiple of 749,328,401 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 749,328,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,328,401) = 1

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

GCF(749,328,401) x common factors =1 x 1 = 1

LCM(749,328,401) = ( 749 × 328 × 401 ) / 1

LCM(749,328,401) = 98514472 / 1

LCM(749,328,401) = 98514472


Lets's calculate GCF of 82,97,222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98514472/1

Therefore the LCM of Fractions 749/82,328/97,401/222 is 98514472

Greatest Common Factor of 82,97,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,97,222 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

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 82,97,222 . The biggest common factor number is the GCF number.
So the greatest common factor 82,97,222 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 749/82, 328/97, 401/222

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 749/82, 328/97, 401/222?

Answer: LCM of Numerators as per given numbers 749/82, 328/97, 401/222 is

LCM of Numerators i.e. for 749,328,401 is 98514472

GCF of denominators i.e. for 82,97,222 is 1.

Thus, LCM of Fractions is 98514472.Finally, LCM of Fractions for 749/82, 328/97, 401/222 is 98514472.