Least Common Multiple of 90/80, 46/56, 58/34, 11/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/80, 46/56, 58/34, 11/995 quickly i.e. 660330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/80, 46/56, 58/34, 11/995 is 660330.

LCM(90/80, 46/56, 58/34, 11/995) = 660330

LCM of 90/80, 46/56, 58/34, 11/995

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 90/80,46/56,58/34,11/995

Given numbers are 90/80,46/56,58/34,11/995

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 90,46,58,11

Least Common Multiple of Numerators i.e. LCM of 90,46,58,11 is 660330.

GCF of Denominators means GCF of 80,56,34,995 as per the given fractions.

GCF of 80,56,34,995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,46,58,11

LCM of Fractions 90/80,46/56,58/34,11/995 is 660330

2 90, 46, 58, 11
45, 23, 29, 11

∴ So the LCM of the given numbers is 2 x 45 x 23 x 29 x 11 = 660330

Least Common Multiple of 90,46,58,11 with GCF Formula

Least Common Multiple of 90,46,58,11 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 90,46,58,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,46,58,11) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(90,46,58,11) x common factors =1 x 4 = 4

LCM(90,46,58,11) = ( 90 × 46 × 58 × 11 ) / 4

LCM(90,46,58,11) = 2641320 / 4

LCM(90,46,58,11) = 660330


Lets's calculate GCF of 80,56,34,995

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 660330/1

Therefore the LCM of Fractions 90/80,46/56,58/34,11/995 is 660330

Greatest Common Factor of 80,56,34,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,56,34,995 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 80,56,34,995 . The biggest common factor number is the GCF number.
So the greatest common factor 80,56,34,995 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/80, 46/56, 58/34, 11/995

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 90/80, 46/56, 58/34, 11/995?

Answer: LCM of Numerators as per given numbers 90/80, 46/56, 58/34, 11/995 is

LCM of Numerators i.e. for 90,46,58,11 is 660330

GCF of denominators i.e. for 80,56,34,995 is 1.

Thus, LCM of Fractions is 660330.Finally, LCM of Fractions for 90/80, 46/56, 58/34, 11/995 is 660330.