Least Common Multiple of 90/965, 2685/9967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/965, 2685/9967 quickly i.e. 16110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/965, 2685/9967 is 16110.

LCM(90/965, 2685/9967) = 16110

LCM of 90/965, 2685/9967

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 90/965,2685/9967

Given numbers are 90/965,2685/9967

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 90,2685

Least Common Multiple of Numerators i.e. LCM of 90,2685 is 16110.

GCF of Denominators means GCF of 965,9967 as per the given fractions.

GCF of 965,9967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,2685

LCM of Fractions 90/965,2685/9967 is 16110

3 90, 2685
5 30, 895
6, 179

∴ So the LCM of the given numbers is 3 x 5 x 6 x 179 = 16110

Least Common Multiple of 90,2685 with GCF Formula

Least Common Multiple of 90,2685 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 90,2685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,2685) = 15

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

GCF(90,2685) x common factors =15 x 1 = 15

LCM(90,2685) = ( 90 × 2685 ) / 15

LCM(90,2685) = 241650 / 15

LCM(90,2685) = 16110


Lets's calculate GCF of 965,9967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16110/1

Therefore the LCM of Fractions 90/965,2685/9967 is 16110

Greatest Common Factor of 965,9967 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,9967 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 9967

List of positive integer factors of 9967 that divides 9967 without a remainder.

1,9967

Greatest Common Factor

We found the factors 965,9967 . The biggest common factor number is the GCF number.
So the greatest common factor 965,9967 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/965, 2685/9967

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 90/965, 2685/9967?

Answer: LCM of Numerators as per given numbers 90/965, 2685/9967 is

LCM of Numerators i.e. for 90,2685 is 16110

GCF of denominators i.e. for 965,9967 is 1.

Thus, LCM of Fractions is 16110.Finally, LCM of Fractions for 90/965, 2685/9967 is 16110.