Least Common Multiple of 16/49, 45/35, 15/64, 35/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/49, 45/35, 15/64, 35/686 quickly i.e. 5040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/49, 45/35, 15/64, 35/686 is 5040.

LCM(16/49, 45/35, 15/64, 35/686) = 5040

LCM of 16/49, 45/35, 15/64, 35/686

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 16/49,45/35,15/64,35/686

Given numbers are 16/49,45/35,15/64,35/686

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 16,45,15,35

Least Common Multiple of Numerators i.e. LCM of 16,45,15,35 is 5040.

GCF of Denominators means GCF of 49,35,64,686 as per the given fractions.

GCF of 49,35,64,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,45,15,35

LCM of Fractions 16/49,45/35,15/64,35/686 is 5040

3 16, 45, 15, 35
5 16, 15, 5, 35
16, 3, 1, 7

∴ So the LCM of the given numbers is 3 x 5 x 16 x 3 x 1 x 7 = 5040

Least Common Multiple of 16,45,15,35 with GCF Formula

Least Common Multiple of 16,45,15,35 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 16,45,15,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,45,15,35) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(16,45,15,35) x common factors =1 x 75 = 75

LCM(16,45,15,35) = ( 16 × 45 × 15 × 35 ) / 75

LCM(16,45,15,35) = 378000 / 75

LCM(16,45,15,35) = 5040


Lets's calculate GCF of 49,35,64,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5040/1

Therefore the LCM of Fractions 16/49,45/35,15/64,35/686 is 5040

Greatest Common Factor of 49,35,64,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,35,64,686 By Matching Biggest Common Factor Method

Factors of 49

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

1,7,49

Factors of 35

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

1,5,7,35

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 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 49,35,64,686 . The biggest common factor number is the GCF number.
So the greatest common factor 49,35,64,686 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 16/49, 45/35, 15/64, 35/686

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 16/49, 45/35, 15/64, 35/686?

Answer: LCM of Numerators as per given numbers 16/49, 45/35, 15/64, 35/686 is

LCM of Numerators i.e. for 16,45,15,35 is 5040

GCF of denominators i.e. for 49,35,64,686 is 1.

Thus, LCM of Fractions is 5040.Finally, LCM of Fractions for 16/49, 45/35, 15/64, 35/686 is 5040.