Least Common Multiple of 754/704, 2841/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/704, 2841/913 quickly i.e. 2142114/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/704, 2841/913 is 2142114/11.

LCM(754/704, 2841/913) = 2142114/11

LCM of 754/704, 2841/913

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 754/704,2841/913

Given numbers are 754/704,2841/913

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 754,2841

Least Common Multiple of Numerators i.e. LCM of 754,2841 is 2142114.

GCF of Denominators means GCF of 704,913 as per the given fractions.

GCF of 704,913 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,2841

LCM of Fractions 754/704,2841/913 is 2142114/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 2142114

Least Common Multiple of 754,2841 with GCF Formula

Least Common Multiple of 754,2841 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 754,2841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,2841) = 1

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

GCF(754,2841) x common factors =1 x 1 = 1

LCM(754,2841) = ( 754 × 2841 ) / 1

LCM(754,2841) = 2142114 / 1

LCM(754,2841) = 2142114


Lets's calculate GCF of 704,913

11 704, 913
64, 83

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2142114/11

Therefore the LCM of Fractions 754/704,2841/913 is 2142114/11

Greatest Common Factor of 704,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,913 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 704,913 . The biggest common factor number is the GCF number.
So the greatest common factor 704,913 is 11.


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 754/704, 2841/913

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 754/704, 2841/913?

Answer: LCM of Numerators as per given numbers 754/704, 2841/913 is

LCM of Numerators i.e. for 754,2841 is 2142114

GCF of denominators i.e. for 704,913 is 11.

Thus, LCM of Fractions is 2142114/11.Finally, LCM of Fractions for 754/704, 2841/913 is 2142114/11.