Least Common Multiple of 45/651, 25/732, 682/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/651, 25/732, 682/648 quickly i.e. 51150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/651, 25/732, 682/648 is 51150.

LCM(45/651, 25/732, 682/648) = 51150

LCM of 45/651, 25/732, 682/648

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 45/651,25/732,682/648

Given numbers are 45/651,25/732,682/648

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 45,25,682

Least Common Multiple of Numerators i.e. LCM of 45,25,682 is 153450.

GCF of Denominators means GCF of 651,732,648 as per the given fractions.

GCF of 651,732,648 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,25,682

LCM of Fractions 45/651,25/732,682/648 is 51150

5 45, 25, 682
9, 5, 682

∴ So the LCM of the given numbers is 5 x 9 x 5 x 682 = 153450

Least Common Multiple of 45,25,682 with GCF Formula

Least Common Multiple of 45,25,682 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 45,25,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,25,682) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(45,25,682) x common factors =1 x 5 = 5

LCM(45,25,682) = ( 45 × 25 × 682 ) / 5

LCM(45,25,682) = 767250 / 5

LCM(45,25,682) = 153450


Lets's calculate GCF of 651,732,648

3 651, 732, 648
217, 244, 216

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153450/3

Therefore the LCM of Fractions 45/651,25/732,682/648 is 51150

Greatest Common Factor of 651,732,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,732,648 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 651,732,648 . The biggest common factor number is the GCF number.
So the greatest common factor 651,732,648 is 3.


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 45/651, 25/732, 682/648

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 45/651, 25/732, 682/648?

Answer: LCM of Numerators as per given numbers 45/651, 25/732, 682/648 is

LCM of Numerators i.e. for 45,25,682 is 153450

GCF of denominators i.e. for 651,732,648 is 3.

Thus, LCM of Fractions is 51150.Finally, LCM of Fractions for 45/651, 25/732, 682/648 is 51150.