Least Common Multiple of 377/86, 234/7640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/86, 234/7640 quickly i.e. 3393 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/86, 234/7640 is 3393.

LCM(377/86, 234/7640) = 3393

LCM of 377/86, 234/7640

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 377/86,234/7640

Given numbers are 377/86,234/7640

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 377,234

Least Common Multiple of Numerators i.e. LCM of 377,234 is 6786.

GCF of Denominators means GCF of 86,7640 as per the given fractions.

GCF of 86,7640 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,234

LCM of Fractions 377/86,234/7640 is 3393

13 377, 234
29, 18

∴ So the LCM of the given numbers is 13 x 29 x 18 = 6786

Least Common Multiple of 377,234 with GCF Formula

Least Common Multiple of 377,234 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 377,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,234) = 13

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

GCF(377,234) x common factors =13 x 1 = 13

LCM(377,234) = ( 377 × 234 ) / 13

LCM(377,234) = 88218 / 13

LCM(377,234) = 6786


Lets's calculate GCF of 86,7640

2 86, 7640
43, 3820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6786/2

Therefore the LCM of Fractions 377/86,234/7640 is 3393

Greatest Common Factor of 86,7640 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,7640 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640

Greatest Common Factor

We found the factors 86,7640 . The biggest common factor number is the GCF number.
So the greatest common factor 86,7640 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 377/86, 234/7640

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 377/86, 234/7640?

Answer: LCM of Numerators as per given numbers 377/86, 234/7640 is

LCM of Numerators i.e. for 377,234 is 6786

GCF of denominators i.e. for 86,7640 is 2.

Thus, LCM of Fractions is 3393.Finally, LCM of Fractions for 377/86, 234/7640 is 3393.