Least Common Multiple of 105/45, 966/55, 625/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/45, 966/55, 625/581 quickly i.e. 603750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/45, 966/55, 625/581 is 603750.

LCM(105/45, 966/55, 625/581) = 603750

LCM of 105/45, 966/55, 625/581

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 105/45,966/55,625/581

Given numbers are 105/45,966/55,625/581

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 105,966,625

Least Common Multiple of Numerators i.e. LCM of 105,966,625 is 603750.

GCF of Denominators means GCF of 45,55,581 as per the given fractions.

GCF of 45,55,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,966,625

LCM of Fractions 105/45,966/55,625/581 is 603750

3 105, 966, 625
5 35, 322, 625
7 7, 322, 125
1, 46, 125

∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 46 x 125 = 603750

Least Common Multiple of 105,966,625 with GCF Formula

Least Common Multiple of 105,966,625 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 105,966,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,966,625) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(105,966,625) x common factors =1 x 105 = 105

LCM(105,966,625) = ( 105 × 966 × 625 ) / 105

LCM(105,966,625) = 63393750 / 105

LCM(105,966,625) = 603750


Lets's calculate GCF of 45,55,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 603750/1

Therefore the LCM of Fractions 105/45,966/55,625/581 is 603750

Greatest Common Factor of 45,55,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,55,581 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 45,55,581 . The biggest common factor number is the GCF number.
So the greatest common factor 45,55,581 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 105/45, 966/55, 625/581

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 105/45, 966/55, 625/581?

Answer: LCM of Numerators as per given numbers 105/45, 966/55, 625/581 is

LCM of Numerators i.e. for 105,966,625 is 603750

GCF of denominators i.e. for 45,55,581 is 1.

Thus, LCM of Fractions is 603750.Finally, LCM of Fractions for 105/45, 966/55, 625/581 is 603750.