Least Common Multiple of 689/884, 7596/8120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/884, 7596/8120 quickly i.e. 1308411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/884, 7596/8120 is 1308411.

LCM(689/884, 7596/8120) = 1308411

LCM of 689/884, 7596/8120

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 689/884,7596/8120

Given numbers are 689/884,7596/8120

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 689,7596

Least Common Multiple of Numerators i.e. LCM of 689,7596 is 5233644.

GCF of Denominators means GCF of 884,8120 as per the given fractions.

GCF of 884,8120 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,7596

LCM of Fractions 689/884,7596/8120 is 1308411

Given numbers has no common factors except 1. So, there LCM is their product i.e 5233644

Least Common Multiple of 689,7596 with GCF Formula

Least Common Multiple of 689,7596 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 689,7596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,7596) = 1

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

GCF(689,7596) x common factors =1 x 1 = 1

LCM(689,7596) = ( 689 × 7596 ) / 1

LCM(689,7596) = 5233644 / 1

LCM(689,7596) = 5233644


Lets's calculate GCF of 884,8120

2 884, 8120
2 442, 4060
221, 2030

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5233644/4

Therefore the LCM of Fractions 689/884,7596/8120 is 1308411

Greatest Common Factor of 884,8120 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,8120 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

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 884,8120 . The biggest common factor number is the GCF number.
So the greatest common factor 884,8120 is 4.


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 689/884, 7596/8120

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 689/884, 7596/8120?

Answer: LCM of Numerators as per given numbers 689/884, 7596/8120 is

LCM of Numerators i.e. for 689,7596 is 5233644

GCF of denominators i.e. for 884,8120 is 4.

Thus, LCM of Fractions is 1308411.Finally, LCM of Fractions for 689/884, 7596/8120 is 1308411.