Least Common Multiple of 632/749, 3321/8120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 632/749, 3321/8120 quickly i.e. 2098872/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 632/749, 3321/8120 is 2098872/7.

LCM(632/749, 3321/8120) = 2098872/7

LCM of 632/749, 3321/8120

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 632/749,3321/8120

Given numbers are 632/749,3321/8120

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 632,3321

Least Common Multiple of Numerators i.e. LCM of 632,3321 is 2098872.

GCF of Denominators means GCF of 749,8120 as per the given fractions.

GCF of 749,8120 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 632,3321

LCM of Fractions 632/749,3321/8120 is 2098872/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 2098872

Least Common Multiple of 632,3321 with GCF Formula

Least Common Multiple of 632,3321 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 632,3321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,3321) = 1

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

GCF(632,3321) x common factors =1 x 1 = 1

LCM(632,3321) = ( 632 × 3321 ) / 1

LCM(632,3321) = 2098872 / 1

LCM(632,3321) = 2098872


Lets's calculate GCF of 749,8120

7 749, 8120
107, 1160

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2098872/7

Therefore the LCM of Fractions 632/749,3321/8120 is 2098872/7

Greatest Common Factor of 749,8120 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,8120 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120

Greatest Common Factor

We found the factors 749,8120 . The biggest common factor number is the GCF number.
So the greatest common factor 749,8120 is 7.


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 632/749, 3321/8120

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 632/749, 3321/8120?

Answer: LCM of Numerators as per given numbers 632/749, 3321/8120 is

LCM of Numerators i.e. for 632,3321 is 2098872

GCF of denominators i.e. for 749,8120 is 7.

Thus, LCM of Fractions is 2098872/7.Finally, LCM of Fractions for 632/749, 3321/8120 is 2098872/7.