Least Common Multiple of 456/478, 3686/1552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/478, 3686/1552 quickly i.e. 22116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/478, 3686/1552 is 22116.

LCM(456/478, 3686/1552) = 22116

LCM of 456/478, 3686/1552

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 456/478,3686/1552

Given numbers are 456/478,3686/1552

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 456,3686

Least Common Multiple of Numerators i.e. LCM of 456,3686 is 44232.

GCF of Denominators means GCF of 478,1552 as per the given fractions.

GCF of 478,1552 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,3686

LCM of Fractions 456/478,3686/1552 is 22116

2 456, 3686
19 228, 1843
12, 97

∴ So the LCM of the given numbers is 2 x 19 x 12 x 97 = 44232

Least Common Multiple of 456,3686 with GCF Formula

Least Common Multiple of 456,3686 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 456,3686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,3686) = 38

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

GCF(456,3686) x common factors =38 x 1 = 38

LCM(456,3686) = ( 456 × 3686 ) / 38

LCM(456,3686) = 1680816 / 38

LCM(456,3686) = 44232


Lets's calculate GCF of 478,1552

2 478, 1552
239, 776

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44232/2

Therefore the LCM of Fractions 456/478,3686/1552 is 22116

Greatest Common Factor of 478,1552 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,1552 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 1552

List of positive integer factors of 1552 that divides 1552 without a remainder.

1,2,4,8,16,97,194,388,776,1552

Greatest Common Factor

We found the factors 478,1552 . The biggest common factor number is the GCF number.
So the greatest common factor 478,1552 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 456/478, 3686/1552

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 456/478, 3686/1552?

Answer: LCM of Numerators as per given numbers 456/478, 3686/1552 is

LCM of Numerators i.e. for 456,3686 is 44232

GCF of denominators i.e. for 478,1552 is 2.

Thus, LCM of Fractions is 22116.Finally, LCM of Fractions for 456/478, 3686/1552 is 22116.