Least Common Multiple of 61/67, 55/68, 18/72, 25/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/67, 55/68, 18/72, 25/645 quickly i.e. 301950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/67, 55/68, 18/72, 25/645 is 301950.

LCM(61/67, 55/68, 18/72, 25/645) = 301950

LCM of 61/67, 55/68, 18/72, 25/645

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 61/67,55/68,18/72,25/645

Given numbers are 61/67,55/68,18/72,25/645

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 61,55,18,25

Least Common Multiple of Numerators i.e. LCM of 61,55,18,25 is 301950.

GCF of Denominators means GCF of 67,68,72,645 as per the given fractions.

GCF of 67,68,72,645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,55,18,25

LCM of Fractions 61/67,55/68,18/72,25/645 is 301950

5 61, 55, 18, 25
61, 11, 18, 5

∴ So the LCM of the given numbers is 5 x 61 x 11 x 18 x 5 = 301950

Least Common Multiple of 61,55,18,25 with GCF Formula

Least Common Multiple of 61,55,18,25 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 61,55,18,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,55,18,25) = 1

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

GCF(61,55,18,25) x common factors =1 x 5 = 5

LCM(61,55,18,25) = ( 61 × 55 × 18 × 25 ) / 5

LCM(61,55,18,25) = 1509750 / 5

LCM(61,55,18,25) = 301950


Lets's calculate GCF of 67,68,72,645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301950/1

Therefore the LCM of Fractions 61/67,55/68,18/72,25/645 is 301950

Greatest Common Factor of 67,68,72,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,68,72,645 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 67,68,72,645 . The biggest common factor number is the GCF number.
So the greatest common factor 67,68,72,645 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/67, 55/68, 18/72, 25/645

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 61/67, 55/68, 18/72, 25/645?

Answer: LCM of Numerators as per given numbers 61/67, 55/68, 18/72, 25/645 is

LCM of Numerators i.e. for 61,55,18,25 is 301950

GCF of denominators i.e. for 67,68,72,645 is 1.

Thus, LCM of Fractions is 301950.Finally, LCM of Fractions for 61/67, 55/68, 18/72, 25/645 is 301950.