Least Common Multiple of 703/113, 7562/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 703/113, 7562/792 quickly i.e. 279794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 703/113, 7562/792 is 279794.

LCM(703/113, 7562/792) = 279794

LCM of 703/113, 7562/792

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 703/113,7562/792

Given numbers are 703/113,7562/792

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 703,7562

Least Common Multiple of Numerators i.e. LCM of 703,7562 is 279794.

GCF of Denominators means GCF of 113,792 as per the given fractions.

GCF of 113,792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 703,7562

LCM of Fractions 703/113,7562/792 is 279794

19 703, 7562
37, 398

∴ So the LCM of the given numbers is 19 x 37 x 398 = 279794

Least Common Multiple of 703,7562 with GCF Formula

Least Common Multiple of 703,7562 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 703,7562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,7562) = 19

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

GCF(703,7562) x common factors =19 x 1 = 19

LCM(703,7562) = ( 703 × 7562 ) / 19

LCM(703,7562) = 5316086 / 19

LCM(703,7562) = 279794


Lets's calculate GCF of 113,792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279794/1

Therefore the LCM of Fractions 703/113,7562/792 is 279794

Greatest Common Factor of 113,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,792 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 113,792 . The biggest common factor number is the GCF number.
So the greatest common factor 113,792 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 703/113, 7562/792

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 703/113, 7562/792?

Answer: LCM of Numerators as per given numbers 703/113, 7562/792 is

LCM of Numerators i.e. for 703,7562 is 279794

GCF of denominators i.e. for 113,792 is 1.

Thus, LCM of Fractions is 279794.Finally, LCM of Fractions for 703/113, 7562/792 is 279794.