Least Common Multiple of 800/697, 216/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 800/697, 216/931 quickly i.e. 21600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/697, 216/931 is 21600.

LCM(800/697, 216/931) = 21600

LCM of 800/697, 216/931

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 800/697,216/931

Given numbers are 800/697,216/931

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 800,216

Least Common Multiple of Numerators i.e. LCM of 800,216 is 21600.

GCF of Denominators means GCF of 697,931 as per the given fractions.

GCF of 697,931 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,216

LCM of Fractions 800/697,216/931 is 21600

2 800, 216
2 400, 108
2 200, 54
100, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 100 x 27 = 21600

Least Common Multiple of 800,216 with GCF Formula

Least Common Multiple of 800,216 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 800,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,216) = 8

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

GCF(800,216) x common factors =8 x 1 = 8

LCM(800,216) = ( 800 × 216 ) / 8

LCM(800,216) = 172800 / 8

LCM(800,216) = 21600


Lets's calculate GCF of 697,931

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21600/1

Therefore the LCM of Fractions 800/697,216/931 is 21600

Greatest Common Factor of 697,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,931 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors 697,931 . The biggest common factor number is the GCF number.
So the greatest common factor 697,931 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 800/697, 216/931

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 800/697, 216/931?

Answer: LCM of Numerators as per given numbers 800/697, 216/931 is

LCM of Numerators i.e. for 800,216 is 21600

GCF of denominators i.e. for 697,931 is 1.

Thus, LCM of Fractions is 21600.Finally, LCM of Fractions for 800/697, 216/931 is 21600.