Least Common Multiple of 59/64, 77/78, 98/12, 87/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/64, 77/78, 98/12, 87/284 quickly i.e. 2766687 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/64, 77/78, 98/12, 87/284 is 2766687.

LCM(59/64, 77/78, 98/12, 87/284) = 2766687

LCM of 59/64, 77/78, 98/12, 87/284

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 59/64,77/78,98/12,87/284

Given numbers are 59/64,77/78,98/12,87/284

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 59,77,98,87

Least Common Multiple of Numerators i.e. LCM of 59,77,98,87 is 5533374.

GCF of Denominators means GCF of 64,78,12,284 as per the given fractions.

GCF of 64,78,12,284 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,77,98,87

LCM of Fractions 59/64,77/78,98/12,87/284 is 2766687

7 59, 77, 98, 87
59, 11, 14, 87

∴ So the LCM of the given numbers is 7 x 59 x 11 x 14 x 87 = 5533374

Least Common Multiple of 59,77,98,87 with GCF Formula

Least Common Multiple of 59,77,98,87 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 59,77,98,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,77,98,87) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(59,77,98,87) x common factors =1 x 7 = 7

LCM(59,77,98,87) = ( 59 × 77 × 98 × 87 ) / 7

LCM(59,77,98,87) = 38733618 / 7

LCM(59,77,98,87) = 5533374


Lets's calculate GCF of 64,78,12,284

2 64, 78, 12, 284
32, 39, 6, 142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5533374/2

Therefore the LCM of Fractions 59/64,77/78,98/12,87/284 is 2766687

Greatest Common Factor of 64,78,12,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,78,12,284 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 64,78,12,284 . The biggest common factor number is the GCF number.
So the greatest common factor 64,78,12,284 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 59/64, 77/78, 98/12, 87/284

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 59/64, 77/78, 98/12, 87/284?

Answer: LCM of Numerators as per given numbers 59/64, 77/78, 98/12, 87/284 is

LCM of Numerators i.e. for 59,77,98,87 is 5533374

GCF of denominators i.e. for 64,78,12,284 is 2.

Thus, LCM of Fractions is 2766687.Finally, LCM of Fractions for 59/64, 77/78, 98/12, 87/284 is 2766687.