Least Common Multiple of 23/62, 80/34, 87/90, 66/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/62, 80/34, 87/90, 66/921 quickly i.e. 1760880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/62, 80/34, 87/90, 66/921 is 1760880.

LCM(23/62, 80/34, 87/90, 66/921) = 1760880

LCM of 23/62, 80/34, 87/90, 66/921

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 23/62,80/34,87/90,66/921

Given numbers are 23/62,80/34,87/90,66/921

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 23,80,87,66

Least Common Multiple of Numerators i.e. LCM of 23,80,87,66 is 1760880.

GCF of Denominators means GCF of 62,34,90,921 as per the given fractions.

GCF of 62,34,90,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,80,87,66

LCM of Fractions 23/62,80/34,87/90,66/921 is 1760880

2 23, 80, 87, 66
3 23, 40, 87, 33
23, 40, 29, 11

∴ So the LCM of the given numbers is 2 x 3 x 23 x 40 x 29 x 11 = 1760880

Least Common Multiple of 23,80,87,66 with GCF Formula

Least Common Multiple of 23,80,87,66 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 23,80,87,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,80,87,66) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(23,80,87,66) x common factors =1 x 6 = 6

LCM(23,80,87,66) = ( 23 × 80 × 87 × 66 ) / 6

LCM(23,80,87,66) = 10565280 / 6

LCM(23,80,87,66) = 1760880


Lets's calculate GCF of 62,34,90,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1760880/1

Therefore the LCM of Fractions 23/62,80/34,87/90,66/921 is 1760880

Greatest Common Factor of 62,34,90,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,34,90,921 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 34

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

1,2,17,34

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 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 62,34,90,921 . The biggest common factor number is the GCF number.
So the greatest common factor 62,34,90,921 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/62, 80/34, 87/90, 66/921

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 23/62, 80/34, 87/90, 66/921?

Answer: LCM of Numerators as per given numbers 23/62, 80/34, 87/90, 66/921 is

LCM of Numerators i.e. for 23,80,87,66 is 1760880

GCF of denominators i.e. for 62,34,90,921 is 1.

Thus, LCM of Fractions is 1760880.Finally, LCM of Fractions for 23/62, 80/34, 87/90, 66/921 is 1760880.