Least Common Multiple of 34/37, 90/66, 30/50, 70/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/37, 90/66, 30/50, 70/186 quickly i.e. 10710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/37, 90/66, 30/50, 70/186 is 10710.

LCM(34/37, 90/66, 30/50, 70/186) = 10710

LCM of 34/37, 90/66, 30/50, 70/186

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 34/37,90/66,30/50,70/186

Given numbers are 34/37,90/66,30/50,70/186

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 34,90,30,70

Least Common Multiple of Numerators i.e. LCM of 34,90,30,70 is 10710.

GCF of Denominators means GCF of 37,66,50,186 as per the given fractions.

GCF of 37,66,50,186 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,90,30,70

LCM of Fractions 34/37,90/66,30/50,70/186 is 10710

2 34, 90, 30, 70
3 17, 45, 15, 35
5 17, 5, 15, 35
17, 1, 3, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 1 x 3 x 7 = 10710

Least Common Multiple of 34,90,30,70 with GCF Formula

Least Common Multiple of 34,90,30,70 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 34,90,30,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,90,30,70) = 2

common factors(in case of two or more numbers have common factors) = 300

GCF(34,90,30,70) x common factors =2 x 300 = 600

LCM(34,90,30,70) = ( 34 × 90 × 30 × 70 ) / 600

LCM(34,90,30,70) = 6426000 / 600

LCM(34,90,30,70) = 10710


Lets's calculate GCF of 37,66,50,186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10710/1

Therefore the LCM of Fractions 34/37,90/66,30/50,70/186 is 10710

Greatest Common Factor of 37,66,50,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,66,50,186 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 37,66,50,186 . The biggest common factor number is the GCF number.
So the greatest common factor 37,66,50,186 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 34/37, 90/66, 30/50, 70/186

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 34/37, 90/66, 30/50, 70/186?

Answer: LCM of Numerators as per given numbers 34/37, 90/66, 30/50, 70/186 is

LCM of Numerators i.e. for 34,90,30,70 is 10710

GCF of denominators i.e. for 37,66,50,186 is 1.

Thus, LCM of Fractions is 10710.Finally, LCM of Fractions for 34/37, 90/66, 30/50, 70/186 is 10710.