Least Common Multiple of 69/102, 682/364, 400/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/102, 682/364, 400/500 quickly i.e. 4705800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/102, 682/364, 400/500 is 4705800.

LCM(69/102, 682/364, 400/500) = 4705800

LCM of 69/102, 682/364, 400/500

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 69/102,682/364,400/500

Given numbers are 69/102,682/364,400/500

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 69,682,400

Least Common Multiple of Numerators i.e. LCM of 69,682,400 is 9411600.

GCF of Denominators means GCF of 102,364,500 as per the given fractions.

GCF of 102,364,500 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,682,400

LCM of Fractions 69/102,682/364,400/500 is 4705800

2 69, 682, 400
69, 341, 200

∴ So the LCM of the given numbers is 2 x 69 x 341 x 200 = 9411600

Least Common Multiple of 69,682,400 with GCF Formula

Least Common Multiple of 69,682,400 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 69,682,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,682,400) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(69,682,400) x common factors =1 x 2 = 2

LCM(69,682,400) = ( 69 × 682 × 400 ) / 2

LCM(69,682,400) = 18823200 / 2

LCM(69,682,400) = 9411600


Lets's calculate GCF of 102,364,500

2 102, 364, 500
51, 182, 250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9411600/2

Therefore the LCM of Fractions 69/102,682/364,400/500 is 4705800

Greatest Common Factor of 102,364,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,364,500 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 102,364,500 . The biggest common factor number is the GCF number.
So the greatest common factor 102,364,500 is 2.


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 69/102, 682/364, 400/500

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 69/102, 682/364, 400/500?

Answer: LCM of Numerators as per given numbers 69/102, 682/364, 400/500 is

LCM of Numerators i.e. for 69,682,400 is 9411600

GCF of denominators i.e. for 102,364,500 is 2.

Thus, LCM of Fractions is 4705800.Finally, LCM of Fractions for 69/102, 682/364, 400/500 is 4705800.