Least Common Multiple of 749/67, 728/7322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/67, 728/7322 quickly i.e. 77896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/67, 728/7322 is 77896.

LCM(749/67, 728/7322) = 77896

LCM of 749/67, 728/7322

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 749/67,728/7322

Given numbers are 749/67,728/7322

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 749,728

Least Common Multiple of Numerators i.e. LCM of 749,728 is 77896.

GCF of Denominators means GCF of 67,7322 as per the given fractions.

GCF of 67,7322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,728

LCM of Fractions 749/67,728/7322 is 77896

7 749, 728
107, 104

∴ So the LCM of the given numbers is 7 x 107 x 104 = 77896

Least Common Multiple of 749,728 with GCF Formula

Least Common Multiple of 749,728 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 749,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,728) = 7

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

GCF(749,728) x common factors =7 x 1 = 7

LCM(749,728) = ( 749 × 728 ) / 7

LCM(749,728) = 545272 / 7

LCM(749,728) = 77896


Lets's calculate GCF of 67,7322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77896/1

Therefore the LCM of Fractions 749/67,728/7322 is 77896

Greatest Common Factor of 67,7322 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,7322 By Matching Biggest Common Factor Method

Factors of 67

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

1,67

Factors of 7322

List of positive integer factors of 7322 that divides 7322 without a remainder.

1,2,7,14,523,1046,3661,7322

Greatest Common Factor

We found the factors 67,7322 . The biggest common factor number is the GCF number.
So the greatest common factor 67,7322 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 749/67, 728/7322

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 749/67, 728/7322?

Answer: LCM of Numerators as per given numbers 749/67, 728/7322 is

LCM of Numerators i.e. for 749,728 is 77896

GCF of denominators i.e. for 67,7322 is 1.

Thus, LCM of Fractions is 77896.Finally, LCM of Fractions for 749/67, 728/7322 is 77896.