Least Common Multiple of 344/880, 4376/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/880, 4376/301 quickly i.e. 188168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/880, 4376/301 is 188168.

LCM(344/880, 4376/301) = 188168

LCM of 344/880, 4376/301

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 344/880,4376/301

Given numbers are 344/880,4376/301

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 344,4376

Least Common Multiple of Numerators i.e. LCM of 344,4376 is 188168.

GCF of Denominators means GCF of 880,301 as per the given fractions.

GCF of 880,301 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,4376

LCM of Fractions 344/880,4376/301 is 188168

2 344, 4376
2 172, 2188
2 86, 1094
43, 547

∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 547 = 188168

Least Common Multiple of 344,4376 with GCF Formula

Least Common Multiple of 344,4376 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 344,4376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,4376) = 8

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

GCF(344,4376) x common factors =8 x 1 = 8

LCM(344,4376) = ( 344 × 4376 ) / 8

LCM(344,4376) = 1505344 / 8

LCM(344,4376) = 188168


Lets's calculate GCF of 880,301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188168/1

Therefore the LCM of Fractions 344/880,4376/301 is 188168

Greatest Common Factor of 880,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,301 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Greatest Common Factor

We found the factors 880,301 . The biggest common factor number is the GCF number.
So the greatest common factor 880,301 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 344/880, 4376/301

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 344/880, 4376/301?

Answer: LCM of Numerators as per given numbers 344/880, 4376/301 is

LCM of Numerators i.e. for 344,4376 is 188168

GCF of denominators i.e. for 880,301 is 1.

Thus, LCM of Fractions is 188168.Finally, LCM of Fractions for 344/880, 4376/301 is 188168.