Least Common Multiple of 749/762, 792/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/762, 792/406 quickly i.e. 296604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/762, 792/406 is 296604.

LCM(749/762, 792/406) = 296604

LCM of 749/762, 792/406

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 749/762,792/406

Given numbers are 749/762,792/406

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 749,792

Least Common Multiple of Numerators i.e. LCM of 749,792 is 593208.

GCF of Denominators means GCF of 762,406 as per the given fractions.

GCF of 762,406 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,792

LCM of Fractions 749/762,792/406 is 296604

Given numbers has no common factors except 1. So, there LCM is their product i.e 593208

Least Common Multiple of 749,792 with GCF Formula

Least Common Multiple of 749,792 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 749,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,792) = 1

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

GCF(749,792) x common factors =1 x 1 = 1

LCM(749,792) = ( 749 × 792 ) / 1

LCM(749,792) = 593208 / 1

LCM(749,792) = 593208


Lets's calculate GCF of 762,406

2 762, 406
381, 203

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 593208/2

Therefore the LCM of Fractions 749/762,792/406 is 296604

Greatest Common Factor of 762,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,406 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 762,406 . The biggest common factor number is the GCF number.
So the greatest common factor 762,406 is 2.


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 749/762, 792/406

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 749/762, 792/406?

Answer: LCM of Numerators as per given numbers 749/762, 792/406 is

LCM of Numerators i.e. for 749,792 is 593208

GCF of denominators i.e. for 762,406 is 2.

Thus, LCM of Fractions is 296604.Finally, LCM of Fractions for 749/762, 792/406 is 296604.