Least Common Multiple of 10/672, 704/192, 780/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/672, 704/192, 780/897 quickly i.e. 45760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/672, 704/192, 780/897 is 45760.

LCM(10/672, 704/192, 780/897) = 45760

LCM of 10/672, 704/192, 780/897

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 10/672,704/192,780/897

Given numbers are 10/672,704/192,780/897

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 10,704,780

Least Common Multiple of Numerators i.e. LCM of 10,704,780 is 137280.

GCF of Denominators means GCF of 672,192,897 as per the given fractions.

GCF of 672,192,897 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,704,780

LCM of Fractions 10/672,704/192,780/897 is 45760

2 10, 704, 780
2 5, 352, 390
5 5, 176, 195
1, 176, 39

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 176 x 39 = 137280

Least Common Multiple of 10,704,780 with GCF Formula

Least Common Multiple of 10,704,780 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 10,704,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,704,780) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(10,704,780) x common factors =2 x 20 = 40

LCM(10,704,780) = ( 10 × 704 × 780 ) / 40

LCM(10,704,780) = 5491200 / 40

LCM(10,704,780) = 137280


Lets's calculate GCF of 672,192,897

3 672, 192, 897
224, 64, 299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137280/3

Therefore the LCM of Fractions 10/672,704/192,780/897 is 45760

Greatest Common Factor of 672,192,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,192,897 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 672,192,897 . The biggest common factor number is the GCF number.
So the greatest common factor 672,192,897 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 10/672, 704/192, 780/897

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 10/672, 704/192, 780/897?

Answer: LCM of Numerators as per given numbers 10/672, 704/192, 780/897 is

LCM of Numerators i.e. for 10,704,780 is 137280

GCF of denominators i.e. for 672,192,897 is 3.

Thus, LCM of Fractions is 45760.Finally, LCM of Fractions for 10/672, 704/192, 780/897 is 45760.