Least Common Multiple of 13/35, 67/49, 41/77, 58/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/35, 67/49, 41/77, 58/616 quickly i.e. 2071238/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/35, 67/49, 41/77, 58/616 is 2071238/7.

LCM(13/35, 67/49, 41/77, 58/616) = 2071238/7

LCM of 13/35, 67/49, 41/77, 58/616

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 13/35,67/49,41/77,58/616

Given numbers are 13/35,67/49,41/77,58/616

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 13,67,41,58

Least Common Multiple of Numerators i.e. LCM of 13,67,41,58 is 2071238.

GCF of Denominators means GCF of 35,49,77,616 as per the given fractions.

GCF of 35,49,77,616 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,67,41,58

LCM of Fractions 13/35,67/49,41/77,58/616 is 2071238/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 2071238

Least Common Multiple of 13,67,41,58 with GCF Formula

Least Common Multiple of 13,67,41,58 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 13,67,41,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,67,41,58) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(13,67,41,58) x common factors =1 x 1 = 1

LCM(13,67,41,58) = ( 13 × 67 × 41 × 58 ) / 1

LCM(13,67,41,58) = 2071238 / 1

LCM(13,67,41,58) = 2071238


Lets's calculate GCF of 35,49,77,616

7 35, 49, 77, 616
5, 7, 11, 88

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2071238/7

Therefore the LCM of Fractions 13/35,67/49,41/77,58/616 is 2071238/7

Greatest Common Factor of 35,49,77,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,49,77,616 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 35,49,77,616 . The biggest common factor number is the GCF number.
So the greatest common factor 35,49,77,616 is 7.


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 13/35, 67/49, 41/77, 58/616

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 13/35, 67/49, 41/77, 58/616?

Answer: LCM of Numerators as per given numbers 13/35, 67/49, 41/77, 58/616 is

LCM of Numerators i.e. for 13,67,41,58 is 2071238

GCF of denominators i.e. for 35,49,77,616 is 7.

Thus, LCM of Fractions is 2071238/7.Finally, LCM of Fractions for 13/35, 67/49, 41/77, 58/616 is 2071238/7.