Least Common Multiple of 45/501, 674/707, 989/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/501, 674/707, 989/105 quickly i.e. 29996370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/501, 674/707, 989/105 is 29996370.

LCM(45/501, 674/707, 989/105) = 29996370

LCM of 45/501, 674/707, 989/105

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 45/501,674/707,989/105

Given numbers are 45/501,674/707,989/105

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 45,674,989

Least Common Multiple of Numerators i.e. LCM of 45,674,989 is 29996370.

GCF of Denominators means GCF of 501,707,105 as per the given fractions.

GCF of 501,707,105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,674,989

LCM of Fractions 45/501,674/707,989/105 is 29996370

Given numbers has no common factors except 1. So, there LCM is their product i.e 29996370

Least Common Multiple of 45,674,989 with GCF Formula

Least Common Multiple of 45,674,989 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 45,674,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,674,989) = 1

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

GCF(45,674,989) x common factors =1 x 1 = 1

LCM(45,674,989) = ( 45 × 674 × 989 ) / 1

LCM(45,674,989) = 29996370 / 1

LCM(45,674,989) = 29996370


Lets's calculate GCF of 501,707,105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29996370/1

Therefore the LCM of Fractions 45/501,674/707,989/105 is 29996370

Greatest Common Factor of 501,707,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,707,105 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 501,707,105 . The biggest common factor number is the GCF number.
So the greatest common factor 501,707,105 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 45/501, 674/707, 989/105

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 45/501, 674/707, 989/105?

Answer: LCM of Numerators as per given numbers 45/501, 674/707, 989/105 is

LCM of Numerators i.e. for 45,674,989 is 29996370

GCF of denominators i.e. for 501,707,105 is 1.

Thus, LCM of Fractions is 29996370.Finally, LCM of Fractions for 45/501, 674/707, 989/105 is 29996370.