Least Common Multiple of 295/476, 4617/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 295/476, 4617/448 quickly i.e. 1362015/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 295/476, 4617/448 is 1362015/28.

LCM(295/476, 4617/448) = 1362015/28

LCM of 295/476, 4617/448

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 295/476,4617/448

Given numbers are 295/476,4617/448

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 295,4617

Least Common Multiple of Numerators i.e. LCM of 295,4617 is 1362015.

GCF of Denominators means GCF of 476,448 as per the given fractions.

GCF of 476,448 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 295,4617

LCM of Fractions 295/476,4617/448 is 1362015/28

Given numbers has no common factors except 1. So, there LCM is their product i.e 1362015

Least Common Multiple of 295,4617 with GCF Formula

Least Common Multiple of 295,4617 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 295,4617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,4617) = 1

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

GCF(295,4617) x common factors =1 x 1 = 1

LCM(295,4617) = ( 295 × 4617 ) / 1

LCM(295,4617) = 1362015 / 1

LCM(295,4617) = 1362015


Lets's calculate GCF of 476,448

2 476, 448
2 238, 224
7 119, 112
17, 16

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1362015/28

Therefore the LCM of Fractions 295/476,4617/448 is 1362015/28

Greatest Common Factor of 476,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,448 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

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

Greatest Common Factor

We found the factors 476,448 . The biggest common factor number is the GCF number.
So the greatest common factor 476,448 is 28.


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 295/476, 4617/448

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 295/476, 4617/448?

Answer: LCM of Numerators as per given numbers 295/476, 4617/448 is

LCM of Numerators i.e. for 295,4617 is 1362015

GCF of denominators i.e. for 476,448 is 28.

Thus, LCM of Fractions is 1362015/28.Finally, LCM of Fractions for 295/476, 4617/448 is 1362015/28.