Least Common Multiple of 380/32, 166/7924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/32, 166/7924 quickly i.e. 7885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/32, 166/7924 is 7885.

LCM(380/32, 166/7924) = 7885

LCM of 380/32, 166/7924

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 380/32,166/7924

Given numbers are 380/32,166/7924

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 380,166

Least Common Multiple of Numerators i.e. LCM of 380,166 is 31540.

GCF of Denominators means GCF of 32,7924 as per the given fractions.

GCF of 32,7924 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,166

LCM of Fractions 380/32,166/7924 is 7885

2 380, 166
190, 83

∴ So the LCM of the given numbers is 2 x 190 x 83 = 31540

Least Common Multiple of 380,166 with GCF Formula

Least Common Multiple of 380,166 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 380,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,166) = 2

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

GCF(380,166) x common factors =2 x 1 = 2

LCM(380,166) = ( 380 × 166 ) / 2

LCM(380,166) = 63080 / 2

LCM(380,166) = 31540


Lets's calculate GCF of 32,7924

2 32, 7924
2 16, 3962
8, 1981

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31540/4

Therefore the LCM of Fractions 380/32,166/7924 is 7885

Greatest Common Factor of 32,7924 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,7924 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 7924

List of positive integer factors of 7924 that divides 7924 without a remainder.

1,2,4,7,14,28,283,566,1132,1981,3962,7924

Greatest Common Factor

We found the factors 32,7924 . The biggest common factor number is the GCF number.
So the greatest common factor 32,7924 is 4.


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 380/32, 166/7924

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 380/32, 166/7924?

Answer: LCM of Numerators as per given numbers 380/32, 166/7924 is

LCM of Numerators i.e. for 380,166 is 31540

GCF of denominators i.e. for 32,7924 is 4.

Thus, LCM of Fractions is 7885.Finally, LCM of Fractions for 380/32, 166/7924 is 7885.