Least Common Multiple of 89/719, 716/902, 740/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/719, 716/902, 740/384 quickly i.e. 11788940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/719, 716/902, 740/384 is 11788940.

LCM(89/719, 716/902, 740/384) = 11788940

LCM of 89/719, 716/902, 740/384

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 89/719,716/902,740/384

Given numbers are 89/719,716/902,740/384

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 89,716,740

Least Common Multiple of Numerators i.e. LCM of 89,716,740 is 11788940.

GCF of Denominators means GCF of 719,902,384 as per the given fractions.

GCF of 719,902,384 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,716,740

LCM of Fractions 89/719,716/902,740/384 is 11788940

2 89, 716, 740
2 89, 358, 370
89, 179, 185

∴ So the LCM of the given numbers is 2 x 2 x 89 x 179 x 185 = 11788940

Least Common Multiple of 89,716,740 with GCF Formula

Least Common Multiple of 89,716,740 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 89,716,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,716,740) = 1

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

GCF(89,716,740) x common factors =1 x 4 = 4

LCM(89,716,740) = ( 89 × 716 × 740 ) / 4

LCM(89,716,740) = 47155760 / 4

LCM(89,716,740) = 11788940


Lets's calculate GCF of 719,902,384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11788940/1

Therefore the LCM of Fractions 89/719,716/902,740/384 is 11788940

Greatest Common Factor of 719,902,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,902,384 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 719,902,384 . The biggest common factor number is the GCF number.
So the greatest common factor 719,902,384 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 89/719, 716/902, 740/384

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 89/719, 716/902, 740/384?

Answer: LCM of Numerators as per given numbers 89/719, 716/902, 740/384 is

LCM of Numerators i.e. for 89,716,740 is 11788940

GCF of denominators i.e. for 719,902,384 is 1.

Thus, LCM of Fractions is 11788940.Finally, LCM of Fractions for 89/719, 716/902, 740/384 is 11788940.