Least Common Multiple of 8468/456, 3660/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8468/456, 3660/471 quickly i.e. 2582740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8468/456, 3660/471 is 2582740.

LCM(8468/456, 3660/471) = 2582740

LCM of 8468/456, 3660/471

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 8468/456,3660/471

Given numbers are 8468/456,3660/471

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 8468,3660

Least Common Multiple of Numerators i.e. LCM of 8468,3660 is 7748220.

GCF of Denominators means GCF of 456,471 as per the given fractions.

GCF of 456,471 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8468,3660

LCM of Fractions 8468/456,3660/471 is 2582740

2 8468, 3660
2 4234, 1830
2117, 915

∴ So the LCM of the given numbers is 2 x 2 x 2117 x 915 = 7748220

Least Common Multiple of 8468,3660 with GCF Formula

Least Common Multiple of 8468,3660 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 8468,3660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8468,3660) = 4

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

GCF(8468,3660) x common factors =4 x 1 = 4

LCM(8468,3660) = ( 8468 × 3660 ) / 4

LCM(8468,3660) = 30992880 / 4

LCM(8468,3660) = 7748220


Lets's calculate GCF of 456,471

3 456, 471
152, 157

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7748220/3

Therefore the LCM of Fractions 8468/456,3660/471 is 2582740

Greatest Common Factor of 456,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,471 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 456,471 . The biggest common factor number is the GCF number.
So the greatest common factor 456,471 is 3.


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 8468/456, 3660/471

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 8468/456, 3660/471?

Answer: LCM of Numerators as per given numbers 8468/456, 3660/471 is

LCM of Numerators i.e. for 8468,3660 is 7748220

GCF of denominators i.e. for 456,471 is 3.

Thus, LCM of Fractions is 2582740.Finally, LCM of Fractions for 8468/456, 3660/471 is 2582740.