Least Common Multiple of 4675/448, 7671/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4675/448, 7671/472 quickly i.e. 35861925/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4675/448, 7671/472 is 35861925/8.

LCM(4675/448, 7671/472) = 35861925/8

LCM of 4675/448, 7671/472

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 4675/448,7671/472

Given numbers are 4675/448,7671/472

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 4675,7671

Least Common Multiple of Numerators i.e. LCM of 4675,7671 is 35861925.

GCF of Denominators means GCF of 448,472 as per the given fractions.

GCF of 448,472 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4675,7671

LCM of Fractions 4675/448,7671/472 is 35861925/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 35861925

Least Common Multiple of 4675,7671 with GCF Formula

Least Common Multiple of 4675,7671 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 4675,7671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4675,7671) = 1

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

GCF(4675,7671) x common factors =1 x 1 = 1

LCM(4675,7671) = ( 4675 × 7671 ) / 1

LCM(4675,7671) = 35861925 / 1

LCM(4675,7671) = 35861925


Lets's calculate GCF of 448,472

2 448, 472
2 224, 236
2 112, 118
56, 59

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35861925/8

Therefore the LCM of Fractions 4675/448,7671/472 is 35861925/8

Greatest Common Factor of 448,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,472 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 448,472 . The biggest common factor number is the GCF number.
So the greatest common factor 448,472 is 8.


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 4675/448, 7671/472

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 4675/448, 7671/472?

Answer: LCM of Numerators as per given numbers 4675/448, 7671/472 is

LCM of Numerators i.e. for 4675,7671 is 35861925

GCF of denominators i.e. for 448,472 is 8.

Thus, LCM of Fractions is 35861925/8.Finally, LCM of Fractions for 4675/448, 7671/472 is 35861925/8.