Least Common Multiple of 16/90, 785/75, 501/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/90, 785/75, 501/701 quickly i.e. 6292560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/90, 785/75, 501/701 is 6292560.

LCM(16/90, 785/75, 501/701) = 6292560

LCM of 16/90, 785/75, 501/701

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 16/90,785/75,501/701

Given numbers are 16/90,785/75,501/701

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 16,785,501

Least Common Multiple of Numerators i.e. LCM of 16,785,501 is 6292560.

GCF of Denominators means GCF of 90,75,701 as per the given fractions.

GCF of 90,75,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,785,501

LCM of Fractions 16/90,785/75,501/701 is 6292560

Given numbers has no common factors except 1. So, there LCM is their product i.e 6292560

Least Common Multiple of 16,785,501 with GCF Formula

Least Common Multiple of 16,785,501 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 16,785,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,785,501) = 1

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

GCF(16,785,501) x common factors =1 x 1 = 1

LCM(16,785,501) = ( 16 × 785 × 501 ) / 1

LCM(16,785,501) = 6292560 / 1

LCM(16,785,501) = 6292560


Lets's calculate GCF of 90,75,701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6292560/1

Therefore the LCM of Fractions 16/90,785/75,501/701 is 6292560

Greatest Common Factor of 90,75,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,75,701 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 90,75,701 . The biggest common factor number is the GCF number.
So the greatest common factor 90,75,701 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 16/90, 785/75, 501/701

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 16/90, 785/75, 501/701?

Answer: LCM of Numerators as per given numbers 16/90, 785/75, 501/701 is

LCM of Numerators i.e. for 16,785,501 is 6292560

GCF of denominators i.e. for 90,75,701 is 1.

Thus, LCM of Fractions is 6292560.Finally, LCM of Fractions for 16/90, 785/75, 501/701 is 6292560.