Least Common Multiple of 704/18, 469/49, 653/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/18, 469/49, 653/148 quickly i.e. 215604928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/18, 469/49, 653/148 is 215604928.

LCM(704/18, 469/49, 653/148) = 215604928

LCM of 704/18, 469/49, 653/148

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 704/18,469/49,653/148

Given numbers are 704/18,469/49,653/148

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 704,469,653

Least Common Multiple of Numerators i.e. LCM of 704,469,653 is 215604928.

GCF of Denominators means GCF of 18,49,148 as per the given fractions.

GCF of 18,49,148 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,469,653

LCM of Fractions 704/18,469/49,653/148 is 215604928

Given numbers has no common factors except 1. So, there LCM is their product i.e 215604928

Least Common Multiple of 704,469,653 with GCF Formula

Least Common Multiple of 704,469,653 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 704,469,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,469,653) = 1

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

GCF(704,469,653) x common factors =1 x 1 = 1

LCM(704,469,653) = ( 704 × 469 × 653 ) / 1

LCM(704,469,653) = 215604928 / 1

LCM(704,469,653) = 215604928


Lets's calculate GCF of 18,49,148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215604928/1

Therefore the LCM of Fractions 704/18,469/49,653/148 is 215604928

Greatest Common Factor of 18,49,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,49,148 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 18,49,148 . The biggest common factor number is the GCF number.
So the greatest common factor 18,49,148 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 704/18, 469/49, 653/148

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 704/18, 469/49, 653/148?

Answer: LCM of Numerators as per given numbers 704/18, 469/49, 653/148 is

LCM of Numerators i.e. for 704,469,653 is 215604928

GCF of denominators i.e. for 18,49,148 is 1.

Thus, LCM of Fractions is 215604928.Finally, LCM of Fractions for 704/18, 469/49, 653/148 is 215604928.