Least Common Multiple of 324/35, 929/88, 100/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/35, 929/88, 100/774 quickly i.e. 7524900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/35, 929/88, 100/774 is 7524900.

LCM(324/35, 929/88, 100/774) = 7524900

LCM of 324/35, 929/88, 100/774

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 324/35,929/88,100/774

Given numbers are 324/35,929/88,100/774

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 324,929,100

Least Common Multiple of Numerators i.e. LCM of 324,929,100 is 7524900.

GCF of Denominators means GCF of 35,88,774 as per the given fractions.

GCF of 35,88,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,929,100

LCM of Fractions 324/35,929/88,100/774 is 7524900

2 324, 929, 100
2 162, 929, 50
81, 929, 25

∴ So the LCM of the given numbers is 2 x 2 x 81 x 929 x 25 = 7524900

Least Common Multiple of 324,929,100 with GCF Formula

Least Common Multiple of 324,929,100 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 324,929,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,929,100) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(324,929,100) x common factors =1 x 4 = 4

LCM(324,929,100) = ( 324 × 929 × 100 ) / 4

LCM(324,929,100) = 30099600 / 4

LCM(324,929,100) = 7524900


Lets's calculate GCF of 35,88,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7524900/1

Therefore the LCM of Fractions 324/35,929/88,100/774 is 7524900

Greatest Common Factor of 35,88,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,88,774 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 35,88,774 . The biggest common factor number is the GCF number.
So the greatest common factor 35,88,774 is 1.


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 324/35, 929/88, 100/774

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 324/35, 929/88, 100/774?

Answer: LCM of Numerators as per given numbers 324/35, 929/88, 100/774 is

LCM of Numerators i.e. for 324,929,100 is 7524900

GCF of denominators i.e. for 35,88,774 is 1.

Thus, LCM of Fractions is 7524900.Finally, LCM of Fractions for 324/35, 929/88, 100/774 is 7524900.