Least Common Multiple of 50/92, 60/34, 90/23, 66/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/92, 60/34, 90/23, 66/386 quickly i.e. 9900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/92, 60/34, 90/23, 66/386 is 9900.

LCM(50/92, 60/34, 90/23, 66/386) = 9900

LCM of 50/92, 60/34, 90/23, 66/386

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 50/92,60/34,90/23,66/386

Given numbers are 50/92,60/34,90/23,66/386

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 50,60,90,66

Least Common Multiple of Numerators i.e. LCM of 50,60,90,66 is 9900.

GCF of Denominators means GCF of 92,34,23,386 as per the given fractions.

GCF of 92,34,23,386 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,60,90,66

LCM of Fractions 50/92,60/34,90/23,66/386 is 9900

2 50, 60, 90, 66
3 25, 30, 45, 33
5 25, 10, 15, 11
5, 2, 3, 11

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 2 x 3 x 11 = 9900

Least Common Multiple of 50,60,90,66 with GCF Formula

Least Common Multiple of 50,60,90,66 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 50,60,90,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,60,90,66) = 2

common factors(in case of two or more numbers have common factors) = 900

GCF(50,60,90,66) x common factors =2 x 900 = 1800

LCM(50,60,90,66) = ( 50 × 60 × 90 × 66 ) / 1800

LCM(50,60,90,66) = 17820000 / 1800

LCM(50,60,90,66) = 9900


Lets's calculate GCF of 92,34,23,386

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9900/1

Therefore the LCM of Fractions 50/92,60/34,90/23,66/386 is 9900

Greatest Common Factor of 92,34,23,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,34,23,386 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 34

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

1,2,17,34

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 92,34,23,386 . The biggest common factor number is the GCF number.
So the greatest common factor 92,34,23,386 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/92, 60/34, 90/23, 66/386

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 50/92, 60/34, 90/23, 66/386?

Answer: LCM of Numerators as per given numbers 50/92, 60/34, 90/23, 66/386 is

LCM of Numerators i.e. for 50,60,90,66 is 9900

GCF of denominators i.e. for 92,34,23,386 is 1.

Thus, LCM of Fractions is 9900.Finally, LCM of Fractions for 50/92, 60/34, 90/23, 66/386 is 9900.