Least Common Multiple of 400/30, 688/1217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/30, 688/1217 quickly i.e. 17200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/30, 688/1217 is 17200.

LCM(400/30, 688/1217) = 17200

LCM of 400/30, 688/1217

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 400/30,688/1217

Given numbers are 400/30,688/1217

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 400,688

Least Common Multiple of Numerators i.e. LCM of 400,688 is 17200.

GCF of Denominators means GCF of 30,1217 as per the given fractions.

GCF of 30,1217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,688

LCM of Fractions 400/30,688/1217 is 17200

2 400, 688
2 200, 344
2 100, 172
2 50, 86
25, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 25 x 43 = 17200

Least Common Multiple of 400,688 with GCF Formula

Least Common Multiple of 400,688 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 400,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,688) = 16

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

GCF(400,688) x common factors =16 x 1 = 16

LCM(400,688) = ( 400 × 688 ) / 16

LCM(400,688) = 275200 / 16

LCM(400,688) = 17200


Lets's calculate GCF of 30,1217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17200/1

Therefore the LCM of Fractions 400/30,688/1217 is 17200

Greatest Common Factor of 30,1217 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,1217 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 1217

List of positive integer factors of 1217 that divides 1217 without a remainder.

1,1217

Greatest Common Factor

We found the factors 30,1217 . The biggest common factor number is the GCF number.
So the greatest common factor 30,1217 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 400/30, 688/1217

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 400/30, 688/1217?

Answer: LCM of Numerators as per given numbers 400/30, 688/1217 is

LCM of Numerators i.e. for 400,688 is 17200

GCF of denominators i.e. for 30,1217 is 1.

Thus, LCM of Fractions is 17200.Finally, LCM of Fractions for 400/30, 688/1217 is 17200.