Least Common Multiple of 62/65, 42/19, 59/46, 87/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/65, 42/19, 59/46, 87/778 quickly i.e. 2227722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/65, 42/19, 59/46, 87/778 is 2227722.

LCM(62/65, 42/19, 59/46, 87/778) = 2227722

LCM of 62/65, 42/19, 59/46, 87/778

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 62/65,42/19,59/46,87/778

Given numbers are 62/65,42/19,59/46,87/778

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 62,42,59,87

Least Common Multiple of Numerators i.e. LCM of 62,42,59,87 is 2227722.

GCF of Denominators means GCF of 65,19,46,778 as per the given fractions.

GCF of 65,19,46,778 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,42,59,87

LCM of Fractions 62/65,42/19,59/46,87/778 is 2227722

2 62, 42, 59, 87
3 31, 21, 59, 87
31, 7, 59, 29

∴ So the LCM of the given numbers is 2 x 3 x 31 x 7 x 59 x 29 = 2227722

Least Common Multiple of 62,42,59,87 with GCF Formula

Least Common Multiple of 62,42,59,87 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 62,42,59,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,42,59,87) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(62,42,59,87) x common factors =1 x 6 = 6

LCM(62,42,59,87) = ( 62 × 42 × 59 × 87 ) / 6

LCM(62,42,59,87) = 13366332 / 6

LCM(62,42,59,87) = 2227722


Lets's calculate GCF of 65,19,46,778

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2227722/1

Therefore the LCM of Fractions 62/65,42/19,59/46,87/778 is 2227722

Greatest Common Factor of 65,19,46,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,19,46,778 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 65,19,46,778 . The biggest common factor number is the GCF number.
So the greatest common factor 65,19,46,778 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/65, 42/19, 59/46, 87/778

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 62/65, 42/19, 59/46, 87/778?

Answer: LCM of Numerators as per given numbers 62/65, 42/19, 59/46, 87/778 is

LCM of Numerators i.e. for 62,42,59,87 is 2227722

GCF of denominators i.e. for 65,19,46,778 is 1.

Thus, LCM of Fractions is 2227722.Finally, LCM of Fractions for 62/65, 42/19, 59/46, 87/778 is 2227722.