Least Common Multiple of 945/76, 762/37, 762/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 945/76, 762/37, 762/360 quickly i.e. 240030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 945/76, 762/37, 762/360 is 240030.

LCM(945/76, 762/37, 762/360) = 240030

LCM of 945/76, 762/37, 762/360

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 945/76,762/37,762/360

Given numbers are 945/76,762/37,762/360

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 945,762,762

Least Common Multiple of Numerators i.e. LCM of 945,762,762 is 240030.

GCF of Denominators means GCF of 76,37,360 as per the given fractions.

GCF of 76,37,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 945,762,762

LCM of Fractions 945/76,762/37,762/360 is 240030

2 945, 762, 762
3 945, 381, 381
127 315, 127, 127
315, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 127 x 315 x 1 x 1 = 240030

Least Common Multiple of 945,762,762 with GCF Formula

Least Common Multiple of 945,762,762 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 945,762,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,762,762) = 3

common factors(in case of two or more numbers have common factors) = 762

GCF(945,762,762) x common factors =3 x 762 = 2286

LCM(945,762,762) = ( 945 × 762 × 762 ) / 2286

LCM(945,762,762) = 548708580 / 2286

LCM(945,762,762) = 240030


Lets's calculate GCF of 76,37,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240030/1

Therefore the LCM of Fractions 945/76,762/37,762/360 is 240030

Greatest Common Factor of 76,37,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,37,360 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

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 76,37,360 . The biggest common factor number is the GCF number.
So the greatest common factor 76,37,360 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 945/76, 762/37, 762/360

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 945/76, 762/37, 762/360?

Answer: LCM of Numerators as per given numbers 945/76, 762/37, 762/360 is

LCM of Numerators i.e. for 945,762,762 is 240030

GCF of denominators i.e. for 76,37,360 is 1.

Thus, LCM of Fractions is 240030.Finally, LCM of Fractions for 945/76, 762/37, 762/360 is 240030.