Least Common Multiple of 312/17, 400/1448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/17, 400/1448 quickly i.e. 15600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/17, 400/1448 is 15600.

LCM(312/17, 400/1448) = 15600

LCM of 312/17, 400/1448

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 312/17,400/1448

Given numbers are 312/17,400/1448

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 312,400

Least Common Multiple of Numerators i.e. LCM of 312,400 is 15600.

GCF of Denominators means GCF of 17,1448 as per the given fractions.

GCF of 17,1448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,400

LCM of Fractions 312/17,400/1448 is 15600

2 312, 400
2 156, 200
2 78, 100
39, 50

∴ So the LCM of the given numbers is 2 x 2 x 2 x 39 x 50 = 15600

Least Common Multiple of 312,400 with GCF Formula

Least Common Multiple of 312,400 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 312,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,400) = 8

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

GCF(312,400) x common factors =8 x 1 = 8

LCM(312,400) = ( 312 × 400 ) / 8

LCM(312,400) = 124800 / 8

LCM(312,400) = 15600


Lets's calculate GCF of 17,1448

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15600/1

Therefore the LCM of Fractions 312/17,400/1448 is 15600

Greatest Common Factor of 17,1448 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,1448 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 1448

List of positive integer factors of 1448 that divides 1448 without a remainder.

1,2,4,8,181,362,724,1448

Greatest Common Factor

We found the factors 17,1448 . The biggest common factor number is the GCF number.
So the greatest common factor 17,1448 is 1.


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 312/17, 400/1448

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 312/17, 400/1448?

Answer: LCM of Numerators as per given numbers 312/17, 400/1448 is

LCM of Numerators i.e. for 312,400 is 15600

GCF of denominators i.e. for 17,1448 is 1.

Thus, LCM of Fractions is 15600.Finally, LCM of Fractions for 312/17, 400/1448 is 15600.