Least Common Multiple of 59/20, 11/98, 77/41, 34/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/20, 11/98, 77/41, 34/786 quickly i.e. 154462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/20, 11/98, 77/41, 34/786 is 154462.

LCM(59/20, 11/98, 77/41, 34/786) = 154462

LCM of 59/20, 11/98, 77/41, 34/786

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 59/20,11/98,77/41,34/786

Given numbers are 59/20,11/98,77/41,34/786

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 59,11,77,34

Least Common Multiple of Numerators i.e. LCM of 59,11,77,34 is 154462.

GCF of Denominators means GCF of 20,98,41,786 as per the given fractions.

GCF of 20,98,41,786 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,11,77,34

LCM of Fractions 59/20,11/98,77/41,34/786 is 154462

11 59, 11, 77, 34
59, 1, 7, 34

∴ So the LCM of the given numbers is 11 x 59 x 1 x 7 x 34 = 154462

Least Common Multiple of 59,11,77,34 with GCF Formula

Least Common Multiple of 59,11,77,34 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 59,11,77,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,11,77,34) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(59,11,77,34) x common factors =1 x 11 = 11

LCM(59,11,77,34) = ( 59 × 11 × 77 × 34 ) / 11

LCM(59,11,77,34) = 1699082 / 11

LCM(59,11,77,34) = 154462


Lets's calculate GCF of 20,98,41,786

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154462/1

Therefore the LCM of Fractions 59/20,11/98,77/41,34/786 is 154462

Greatest Common Factor of 20,98,41,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,98,41,786 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 98

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

1,2,7,14,49,98

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 20,98,41,786 . The biggest common factor number is the GCF number.
So the greatest common factor 20,98,41,786 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 59/20, 11/98, 77/41, 34/786

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 59/20, 11/98, 77/41, 34/786?

Answer: LCM of Numerators as per given numbers 59/20, 11/98, 77/41, 34/786 is

LCM of Numerators i.e. for 59,11,77,34 is 154462

GCF of denominators i.e. for 20,98,41,786 is 1.

Thus, LCM of Fractions is 154462.Finally, LCM of Fractions for 59/20, 11/98, 77/41, 34/786 is 154462.