Least Common Multiple of 65/62, 35/98, 78/31, 46/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/62, 35/98, 78/31, 46/599 quickly i.e. 62790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/62, 35/98, 78/31, 46/599 is 62790.

LCM(65/62, 35/98, 78/31, 46/599) = 62790

LCM of 65/62, 35/98, 78/31, 46/599

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 65/62,35/98,78/31,46/599

Given numbers are 65/62,35/98,78/31,46/599

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 65,35,78,46

Least Common Multiple of Numerators i.e. LCM of 65,35,78,46 is 62790.

GCF of Denominators means GCF of 62,98,31,599 as per the given fractions.

GCF of 62,98,31,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,35,78,46

LCM of Fractions 65/62,35/98,78/31,46/599 is 62790

2 65, 35, 78, 46
5 65, 35, 39, 23
13 13, 7, 39, 23
1, 7, 3, 23

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 7 x 3 x 23 = 62790

Least Common Multiple of 65,35,78,46 with GCF Formula

Least Common Multiple of 65,35,78,46 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 65,35,78,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,35,78,46) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(65,35,78,46) x common factors =1 x 130 = 130

LCM(65,35,78,46) = ( 65 × 35 × 78 × 46 ) / 130

LCM(65,35,78,46) = 8162700 / 130

LCM(65,35,78,46) = 62790


Lets's calculate GCF of 62,98,31,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62790/1

Therefore the LCM of Fractions 65/62,35/98,78/31,46/599 is 62790

Greatest Common Factor of 62,98,31,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,98,31,599 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 62,98,31,599 . The biggest common factor number is the GCF number.
So the greatest common factor 62,98,31,599 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 65/62, 35/98, 78/31, 46/599

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 65/62, 35/98, 78/31, 46/599?

Answer: LCM of Numerators as per given numbers 65/62, 35/98, 78/31, 46/599 is

LCM of Numerators i.e. for 65,35,78,46 is 62790

GCF of denominators i.e. for 62,98,31,599 is 1.

Thus, LCM of Fractions is 62790.Finally, LCM of Fractions for 65/62, 35/98, 78/31, 46/599 is 62790.