Least Common Multiple of 896/35, 460/9185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 896/35, 460/9185 quickly i.e. 20608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 896/35, 460/9185 is 20608.

LCM(896/35, 460/9185) = 20608

LCM of 896/35, 460/9185

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 896/35,460/9185

Given numbers are 896/35,460/9185

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 896,460

Least Common Multiple of Numerators i.e. LCM of 896,460 is 103040.

GCF of Denominators means GCF of 35,9185 as per the given fractions.

GCF of 35,9185 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 896,460

LCM of Fractions 896/35,460/9185 is 20608

2 896, 460
2 448, 230
224, 115

∴ So the LCM of the given numbers is 2 x 2 x 224 x 115 = 103040

Least Common Multiple of 896,460 with GCF Formula

Least Common Multiple of 896,460 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 896,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,460) = 4

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

GCF(896,460) x common factors =4 x 1 = 4

LCM(896,460) = ( 896 × 460 ) / 4

LCM(896,460) = 412160 / 4

LCM(896,460) = 103040


Lets's calculate GCF of 35,9185

5 35, 9185
7, 1837

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103040/5

Therefore the LCM of Fractions 896/35,460/9185 is 20608

Greatest Common Factor of 35,9185 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,9185 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 9185

List of positive integer factors of 9185 that divides 9185 without a remainder.

1,5,11,55,167,835,1837,9185

Greatest Common Factor

We found the factors 35,9185 . The biggest common factor number is the GCF number.
So the greatest common factor 35,9185 is 5.


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 896/35, 460/9185

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 896/35, 460/9185?

Answer: LCM of Numerators as per given numbers 896/35, 460/9185 is

LCM of Numerators i.e. for 896,460 is 103040

GCF of denominators i.e. for 35,9185 is 5.

Thus, LCM of Fractions is 20608.Finally, LCM of Fractions for 896/35, 460/9185 is 20608.