Least Common Multiple of 10/753, 900/363, 802/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/753, 900/363, 802/924 quickly i.e. 120300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/753, 900/363, 802/924 is 120300.

LCM(10/753, 900/363, 802/924) = 120300

LCM of 10/753, 900/363, 802/924

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 10/753,900/363,802/924

Given numbers are 10/753,900/363,802/924

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 10,900,802

Least Common Multiple of Numerators i.e. LCM of 10,900,802 is 360900.

GCF of Denominators means GCF of 753,363,924 as per the given fractions.

GCF of 753,363,924 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,900,802

LCM of Fractions 10/753,900/363,802/924 is 120300

2 10, 900, 802
5 5, 450, 401
1, 90, 401

∴ So the LCM of the given numbers is 2 x 5 x 1 x 90 x 401 = 360900

Least Common Multiple of 10,900,802 with GCF Formula

Least Common Multiple of 10,900,802 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 10,900,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,900,802) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(10,900,802) x common factors =2 x 10 = 20

LCM(10,900,802) = ( 10 × 900 × 802 ) / 20

LCM(10,900,802) = 7218000 / 20

LCM(10,900,802) = 360900


Lets's calculate GCF of 753,363,924

3 753, 363, 924
251, 121, 308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360900/3

Therefore the LCM of Fractions 10/753,900/363,802/924 is 120300

Greatest Common Factor of 753,363,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,363,924 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 753,363,924 . The biggest common factor number is the GCF number.
So the greatest common factor 753,363,924 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 10/753, 900/363, 802/924

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 10/753, 900/363, 802/924?

Answer: LCM of Numerators as per given numbers 10/753, 900/363, 802/924 is

LCM of Numerators i.e. for 10,900,802 is 360900

GCF of denominators i.e. for 753,363,924 is 3.

Thus, LCM of Fractions is 120300.Finally, LCM of Fractions for 10/753, 900/363, 802/924 is 120300.