Least Common Multiple of 379/64, 261/55, 175/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 379/64, 261/55, 175/669 quickly i.e. 17310825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/64, 261/55, 175/669 is 17310825.

LCM(379/64, 261/55, 175/669) = 17310825

LCM of 379/64, 261/55, 175/669

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 379/64,261/55,175/669

Given numbers are 379/64,261/55,175/669

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 379,261,175

Least Common Multiple of Numerators i.e. LCM of 379,261,175 is 17310825.

GCF of Denominators means GCF of 64,55,669 as per the given fractions.

GCF of 64,55,669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,261,175

LCM of Fractions 379/64,261/55,175/669 is 17310825

Given numbers has no common factors except 1. So, there LCM is their product i.e 17310825

Least Common Multiple of 379,261,175 with GCF Formula

Least Common Multiple of 379,261,175 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 379,261,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,261,175) = 1

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

GCF(379,261,175) x common factors =1 x 1 = 1

LCM(379,261,175) = ( 379 × 261 × 175 ) / 1

LCM(379,261,175) = 17310825 / 1

LCM(379,261,175) = 17310825


Lets's calculate GCF of 64,55,669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17310825/1

Therefore the LCM of Fractions 379/64,261/55,175/669 is 17310825

Greatest Common Factor of 64,55,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,55,669 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 64,55,669 . The biggest common factor number is the GCF number.
So the greatest common factor 64,55,669 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 379/64, 261/55, 175/669

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 379/64, 261/55, 175/669?

Answer: LCM of Numerators as per given numbers 379/64, 261/55, 175/669 is

LCM of Numerators i.e. for 379,261,175 is 17310825

GCF of denominators i.e. for 64,55,669 is 1.

Thus, LCM of Fractions is 17310825.Finally, LCM of Fractions for 379/64, 261/55, 175/669 is 17310825.