Least Common Multiple of 736/90, 9460/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/90, 9460/704 quickly i.e. 870320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/90, 9460/704 is 870320.

LCM(736/90, 9460/704) = 870320

LCM of 736/90, 9460/704

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 736/90,9460/704

Given numbers are 736/90,9460/704

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 736,9460

Least Common Multiple of Numerators i.e. LCM of 736,9460 is 1740640.

GCF of Denominators means GCF of 90,704 as per the given fractions.

GCF of 90,704 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,9460

LCM of Fractions 736/90,9460/704 is 870320

2 736, 9460
2 368, 4730
184, 2365

∴ So the LCM of the given numbers is 2 x 2 x 184 x 2365 = 1740640

Least Common Multiple of 736,9460 with GCF Formula

Least Common Multiple of 736,9460 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 736,9460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,9460) = 4

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

GCF(736,9460) x common factors =4 x 1 = 4

LCM(736,9460) = ( 736 × 9460 ) / 4

LCM(736,9460) = 6962560 / 4

LCM(736,9460) = 1740640


Lets's calculate GCF of 90,704

2 90, 704
45, 352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1740640/2

Therefore the LCM of Fractions 736/90,9460/704 is 870320

Greatest Common Factor of 90,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,704 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 90,704 . The biggest common factor number is the GCF number.
So the greatest common factor 90,704 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 736/90, 9460/704

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 736/90, 9460/704?

Answer: LCM of Numerators as per given numbers 736/90, 9460/704 is

LCM of Numerators i.e. for 736,9460 is 1740640

GCF of denominators i.e. for 90,704 is 2.

Thus, LCM of Fractions is 870320.Finally, LCM of Fractions for 736/90, 9460/704 is 870320.