Least Common Multiple of 35/881, 83/295, 313/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/881, 83/295, 313/749 quickly i.e. 909265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/881, 83/295, 313/749 is 909265.

LCM(35/881, 83/295, 313/749) = 909265

LCM of 35/881, 83/295, 313/749

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 35/881,83/295,313/749

Given numbers are 35/881,83/295,313/749

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 35,83,313

Least Common Multiple of Numerators i.e. LCM of 35,83,313 is 909265.

GCF of Denominators means GCF of 881,295,749 as per the given fractions.

GCF of 881,295,749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,83,313

LCM of Fractions 35/881,83/295,313/749 is 909265

Given numbers has no common factors except 1. So, there LCM is their product i.e 909265

Least Common Multiple of 35,83,313 with GCF Formula

Least Common Multiple of 35,83,313 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 35,83,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,83,313) = 1

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

GCF(35,83,313) x common factors =1 x 1 = 1

LCM(35,83,313) = ( 35 × 83 × 313 ) / 1

LCM(35,83,313) = 909265 / 1

LCM(35,83,313) = 909265


Lets's calculate GCF of 881,295,749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 909265/1

Therefore the LCM of Fractions 35/881,83/295,313/749 is 909265

Greatest Common Factor of 881,295,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 881,295,749 By Matching Biggest Common Factor Method

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 881,295,749 . The biggest common factor number is the GCF number.
So the greatest common factor 881,295,749 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 35/881, 83/295, 313/749

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 35/881, 83/295, 313/749?

Answer: LCM of Numerators as per given numbers 35/881, 83/295, 313/749 is

LCM of Numerators i.e. for 35,83,313 is 909265

GCF of denominators i.e. for 881,295,749 is 1.

Thus, LCM of Fractions is 909265.Finally, LCM of Fractions for 35/881, 83/295, 313/749 is 909265.