Least Common Multiple of 320/102, 400/663, 692/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/102, 400/663, 692/624 quickly i.e. 276800/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/102, 400/663, 692/624 is 276800/3.

LCM(320/102, 400/663, 692/624) = 276800/3

LCM of 320/102, 400/663, 692/624

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 320/102,400/663,692/624

Given numbers are 320/102,400/663,692/624

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 320,400,692

Least Common Multiple of Numerators i.e. LCM of 320,400,692 is 276800.

GCF of Denominators means GCF of 102,663,624 as per the given fractions.

GCF of 102,663,624 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,400,692

LCM of Fractions 320/102,400/663,692/624 is 276800/3

2 320, 400, 692
2 160, 200, 346
2 80, 100, 173
2 40, 50, 173
5 20, 25, 173
4, 5, 173

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 4 x 5 x 173 = 276800

Least Common Multiple of 320,400,692 with GCF Formula

Least Common Multiple of 320,400,692 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 320,400,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,400,692) = 4

common factors(in case of two or more numbers have common factors) = 80

GCF(320,400,692) x common factors =4 x 80 = 320

LCM(320,400,692) = ( 320 × 400 × 692 ) / 320

LCM(320,400,692) = 88576000 / 320

LCM(320,400,692) = 276800


Lets's calculate GCF of 102,663,624

3 102, 663, 624
34, 221, 208

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276800/3

Therefore the LCM of Fractions 320/102,400/663,692/624 is 276800/3

Greatest Common Factor of 102,663,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,663,624 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 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 102,663,624 . The biggest common factor number is the GCF number.
So the greatest common factor 102,663,624 is 3.


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 320/102, 400/663, 692/624

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 320/102, 400/663, 692/624?

Answer: LCM of Numerators as per given numbers 320/102, 400/663, 692/624 is

LCM of Numerators i.e. for 320,400,692 is 276800

GCF of denominators i.e. for 102,663,624 is 3.

Thus, LCM of Fractions is 276800/3.Finally, LCM of Fractions for 320/102, 400/663, 692/624 is 276800/3.