Least Common Multiple of 45/650, 6924/8801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 45/650, 6924/8801 quickly i.e. 103860/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/650, 6924/8801 is 103860/13.

LCM(45/650, 6924/8801) = 103860/13

LCM of 45/650, 6924/8801

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 45/650,6924/8801

Given numbers are 45/650,6924/8801

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 45,6924

Least Common Multiple of Numerators i.e. LCM of 45,6924 is 103860.

GCF of Denominators means GCF of 650,8801 as per the given fractions.

GCF of 650,8801 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,6924

LCM of Fractions 45/650,6924/8801 is 103860/13

3 45, 6924
15, 2308

∴ So the LCM of the given numbers is 3 x 15 x 2308 = 103860

Least Common Multiple of 45,6924 with GCF Formula

Least Common Multiple of 45,6924 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 45,6924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,6924) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(45,6924) x common factors =3 x 1 = 3

LCM(45,6924) = ( 45 × 6924 ) / 3

LCM(45,6924) = 311580 / 3

LCM(45,6924) = 103860


Lets's calculate GCF of 650,8801

13 650, 8801
50, 677

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103860/13

Therefore the LCM of Fractions 45/650,6924/8801 is 103860/13

Greatest Common Factor of 650,8801 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,8801 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 8801

List of positive integer factors of 8801 that divides 8801 without a remainder.

1,13,677,8801

Greatest Common Factor

We found the factors 650,8801 . The biggest common factor number is the GCF number.
So the greatest common factor 650,8801 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 45/650, 6924/8801

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 45/650, 6924/8801?

Answer: LCM of Numerators as per given numbers 45/650, 6924/8801 is

LCM of Numerators i.e. for 45,6924 is 103860

GCF of denominators i.e. for 650,8801 is 13.

Thus, LCM of Fractions is 103860/13.Finally, LCM of Fractions for 45/650, 6924/8801 is 103860/13.