Least Common Multiple of 748/18, 383/86, 807/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 748/18, 383/86, 807/208 quickly i.e. 115596294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 748/18, 383/86, 807/208 is 115596294.

LCM(748/18, 383/86, 807/208) = 115596294

LCM of 748/18, 383/86, 807/208

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 748/18,383/86,807/208

Given numbers are 748/18,383/86,807/208

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 748,383,807

Least Common Multiple of Numerators i.e. LCM of 748,383,807 is 231192588.

GCF of Denominators means GCF of 18,86,208 as per the given fractions.

GCF of 18,86,208 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 748,383,807

LCM of Fractions 748/18,383/86,807/208 is 115596294

Given numbers has no common factors except 1. So, there LCM is their product i.e 231192588

Least Common Multiple of 748,383,807 with GCF Formula

Least Common Multiple of 748,383,807 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 748,383,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,383,807) = 1

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

GCF(748,383,807) x common factors =1 x 1 = 1

LCM(748,383,807) = ( 748 × 383 × 807 ) / 1

LCM(748,383,807) = 231192588 / 1

LCM(748,383,807) = 231192588


Lets's calculate GCF of 18,86,208

2 18, 86, 208
9, 43, 104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231192588/2

Therefore the LCM of Fractions 748/18,383/86,807/208 is 115596294

Greatest Common Factor of 18,86,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,86,208 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 18,86,208 . The biggest common factor number is the GCF number.
So the greatest common factor 18,86,208 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 748/18, 383/86, 807/208

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 748/18, 383/86, 807/208?

Answer: LCM of Numerators as per given numbers 748/18, 383/86, 807/208 is

LCM of Numerators i.e. for 748,383,807 is 231192588

GCF of denominators i.e. for 18,86,208 is 2.

Thus, LCM of Fractions is 115596294.Finally, LCM of Fractions for 748/18, 383/86, 807/208 is 115596294.