Least Common Multiple of 49/751, 55/682, 579/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/751, 55/682, 579/694 quickly i.e. 1560405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/751, 55/682, 579/694 is 1560405.

LCM(49/751, 55/682, 579/694) = 1560405

LCM of 49/751, 55/682, 579/694

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 49/751,55/682,579/694

Given numbers are 49/751,55/682,579/694

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 49,55,579

Least Common Multiple of Numerators i.e. LCM of 49,55,579 is 1560405.

GCF of Denominators means GCF of 751,682,694 as per the given fractions.

GCF of 751,682,694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,55,579

LCM of Fractions 49/751,55/682,579/694 is 1560405

Given numbers has no common factors except 1. So, there LCM is their product i.e 1560405

Least Common Multiple of 49,55,579 with GCF Formula

Least Common Multiple of 49,55,579 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 49,55,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,55,579) = 1

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

GCF(49,55,579) x common factors =1 x 1 = 1

LCM(49,55,579) = ( 49 × 55 × 579 ) / 1

LCM(49,55,579) = 1560405 / 1

LCM(49,55,579) = 1560405


Lets's calculate GCF of 751,682,694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1560405/1

Therefore the LCM of Fractions 49/751,55/682,579/694 is 1560405

Greatest Common Factor of 751,682,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,682,694 By Matching Biggest Common Factor Method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 751,682,694 . The biggest common factor number is the GCF number.
So the greatest common factor 751,682,694 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 49/751, 55/682, 579/694

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 49/751, 55/682, 579/694?

Answer: LCM of Numerators as per given numbers 49/751, 55/682, 579/694 is

LCM of Numerators i.e. for 49,55,579 is 1560405

GCF of denominators i.e. for 751,682,694 is 1.

Thus, LCM of Fractions is 1560405.Finally, LCM of Fractions for 49/751, 55/682, 579/694 is 1560405.