Least Common Multiple of 113/62, 692/2728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 113/62, 692/2728 quickly i.e. 78196/62 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 113/62, 692/2728 is 78196/62.

LCM(113/62, 692/2728) = 78196/62

LCM of 113/62, 692/2728

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 113/62,692/2728

Given numbers are 113/62,692/2728

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 113,692

Least Common Multiple of Numerators i.e. LCM of 113,692 is 78196.

GCF of Denominators means GCF of 62,2728 as per the given fractions.

GCF of 62,2728 is 62 as it is the largest common factor for these numbers.

Lets's calculate LCM of 113,692

LCM of Fractions 113/62,692/2728 is 78196/62

Given numbers has no common factors except 1. So, there LCM is their product i.e 78196

Least Common Multiple of 113,692 with GCF Formula

Least Common Multiple of 113,692 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 113,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,692) = 1

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

GCF(113,692) x common factors =1 x 1 = 1

LCM(113,692) = ( 113 × 692 ) / 1

LCM(113,692) = 78196 / 1

LCM(113,692) = 78196


Lets's calculate GCF of 62,2728

2 62, 2728
31 31, 1364
1, 44

∴ So the GCF of the given numbers is 2 x 31 = 62

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78196/62

Therefore the LCM of Fractions 113/62,692/2728 is 78196/62

Greatest Common Factor of 62,2728 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,2728 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 2728

List of positive integer factors of 2728 that divides 2728 without a remainder.

1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728

Greatest Common Factor

We found the factors 62,2728 . The biggest common factor number is the GCF number.
So the greatest common factor 62,2728 is 62.


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 113/62, 692/2728

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 113/62, 692/2728?

Answer: LCM of Numerators as per given numbers 113/62, 692/2728 is

LCM of Numerators i.e. for 113,692 is 78196

GCF of denominators i.e. for 62,2728 is 62.

Thus, LCM of Fractions is 78196/62.Finally, LCM of Fractions for 113/62, 692/2728 is 78196/62.