Least Common Multiple of 930/32, 989/98, 207/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 930/32, 989/98, 207/824 quickly i.e. 1379655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/32, 989/98, 207/824 is 1379655.

LCM(930/32, 989/98, 207/824) = 1379655

LCM of 930/32, 989/98, 207/824

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 930/32,989/98,207/824

Given numbers are 930/32,989/98,207/824

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 930,989,207

Least Common Multiple of Numerators i.e. LCM of 930,989,207 is 2759310.

GCF of Denominators means GCF of 32,98,824 as per the given fractions.

GCF of 32,98,824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,989,207

LCM of Fractions 930/32,989/98,207/824 is 1379655

3 930, 989, 207
23 310, 989, 69
310, 43, 3

∴ So the LCM of the given numbers is 3 x 23 x 310 x 43 x 3 = 2759310

Least Common Multiple of 930,989,207 with GCF Formula

Least Common Multiple of 930,989,207 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 930,989,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,989,207) = 1

common factors(in case of two or more numbers have common factors) = 69

GCF(930,989,207) x common factors =1 x 69 = 69

LCM(930,989,207) = ( 930 × 989 × 207 ) / 69

LCM(930,989,207) = 190392390 / 69

LCM(930,989,207) = 2759310


Lets's calculate GCF of 32,98,824

2 32, 98, 824
16, 49, 412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2759310/2

Therefore the LCM of Fractions 930/32,989/98,207/824 is 1379655

Greatest Common Factor of 32,98,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,98,824 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 32,98,824 . The biggest common factor number is the GCF number.
So the greatest common factor 32,98,824 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 930/32, 989/98, 207/824

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 930/32, 989/98, 207/824?

Answer: LCM of Numerators as per given numbers 930/32, 989/98, 207/824 is

LCM of Numerators i.e. for 930,989,207 is 2759310

GCF of denominators i.e. for 32,98,824 is 2.

Thus, LCM of Fractions is 1379655.Finally, LCM of Fractions for 930/32, 989/98, 207/824 is 1379655.