Least Common Multiple of 380/68, 656/4330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/68, 656/4330 quickly i.e. 31160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/68, 656/4330 is 31160.

LCM(380/68, 656/4330) = 31160

LCM of 380/68, 656/4330

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 380/68,656/4330

Given numbers are 380/68,656/4330

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 380,656

Least Common Multiple of Numerators i.e. LCM of 380,656 is 62320.

GCF of Denominators means GCF of 68,4330 as per the given fractions.

GCF of 68,4330 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,656

LCM of Fractions 380/68,656/4330 is 31160

2 380, 656
2 190, 328
95, 164

∴ So the LCM of the given numbers is 2 x 2 x 95 x 164 = 62320

Least Common Multiple of 380,656 with GCF Formula

Least Common Multiple of 380,656 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 380,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,656) = 4

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

GCF(380,656) x common factors =4 x 1 = 4

LCM(380,656) = ( 380 × 656 ) / 4

LCM(380,656) = 249280 / 4

LCM(380,656) = 62320


Lets's calculate GCF of 68,4330

2 68, 4330
34, 2165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62320/2

Therefore the LCM of Fractions 380/68,656/4330 is 31160

Greatest Common Factor of 68,4330 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,4330 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 4330

List of positive integer factors of 4330 that divides 4330 without a remainder.

1,2,5,10,433,866,2165,4330

Greatest Common Factor

We found the factors 68,4330 . The biggest common factor number is the GCF number.
So the greatest common factor 68,4330 is 2.


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 380/68, 656/4330

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 380/68, 656/4330?

Answer: LCM of Numerators as per given numbers 380/68, 656/4330 is

LCM of Numerators i.e. for 380,656 is 62320

GCF of denominators i.e. for 68,4330 is 2.

Thus, LCM of Fractions is 31160.Finally, LCM of Fractions for 380/68, 656/4330 is 31160.