Least Common Multiple of 7557/755, 9778/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7557/755, 9778/360 quickly i.e. 73892346/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7557/755, 9778/360 is 73892346/5.

LCM(7557/755, 9778/360) = 73892346/5

LCM of 7557/755, 9778/360

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 7557/755,9778/360

Given numbers are 7557/755,9778/360

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 7557,9778

Least Common Multiple of Numerators i.e. LCM of 7557,9778 is 73892346.

GCF of Denominators means GCF of 755,360 as per the given fractions.

GCF of 755,360 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7557,9778

LCM of Fractions 7557/755,9778/360 is 73892346/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 73892346

Least Common Multiple of 7557,9778 with GCF Formula

Least Common Multiple of 7557,9778 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 7557,9778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7557,9778) = 1

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

GCF(7557,9778) x common factors =1 x 1 = 1

LCM(7557,9778) = ( 7557 × 9778 ) / 1

LCM(7557,9778) = 73892346 / 1

LCM(7557,9778) = 73892346


Lets's calculate GCF of 755,360

5 755, 360
151, 72

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73892346/5

Therefore the LCM of Fractions 7557/755,9778/360 is 73892346/5

Greatest Common Factor of 755,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,360 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 755,360 . The biggest common factor number is the GCF number.
So the greatest common factor 755,360 is 5.


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 7557/755, 9778/360

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 7557/755, 9778/360?

Answer: LCM of Numerators as per given numbers 7557/755, 9778/360 is

LCM of Numerators i.e. for 7557,9778 is 73892346

GCF of denominators i.e. for 755,360 is 5.

Thus, LCM of Fractions is 73892346/5.Finally, LCM of Fractions for 7557/755, 9778/360 is 73892346/5.