Least Common Multiple of 352/110, 352/381, 755/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/110, 352/381, 755/516 quickly i.e. 265760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/110, 352/381, 755/516 is 265760.

LCM(352/110, 352/381, 755/516) = 265760

LCM of 352/110, 352/381, 755/516

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 352/110,352/381,755/516

Given numbers are 352/110,352/381,755/516

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 352,352,755

Least Common Multiple of Numerators i.e. LCM of 352,352,755 is 265760.

GCF of Denominators means GCF of 110,381,516 as per the given fractions.

GCF of 110,381,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,352,755

LCM of Fractions 352/110,352/381,755/516 is 265760

2 352, 352, 755
2 176, 176, 755
2 88, 88, 755
2 44, 44, 755
2 22, 22, 755
11 11, 11, 755
1, 1, 755

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 11 x 1 x 1 x 755 = 265760

Least Common Multiple of 352,352,755 with GCF Formula

Least Common Multiple of 352,352,755 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 352,352,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,352,755) = 1

common factors(in case of two or more numbers have common factors) = 352

GCF(352,352,755) x common factors =1 x 352 = 352

LCM(352,352,755) = ( 352 × 352 × 755 ) / 352

LCM(352,352,755) = 93547520 / 352

LCM(352,352,755) = 265760


Lets's calculate GCF of 110,381,516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265760/1

Therefore the LCM of Fractions 352/110,352/381,755/516 is 265760

Greatest Common Factor of 110,381,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,381,516 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 110,381,516 . The biggest common factor number is the GCF number.
So the greatest common factor 110,381,516 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 352/110, 352/381, 755/516

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 352/110, 352/381, 755/516?

Answer: LCM of Numerators as per given numbers 352/110, 352/381, 755/516 is

LCM of Numerators i.e. for 352,352,755 is 265760

GCF of denominators i.e. for 110,381,516 is 1.

Thus, LCM of Fractions is 265760.Finally, LCM of Fractions for 352/110, 352/381, 755/516 is 265760.