Least Common Multiple of 76/15, 70/45, 787/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/15, 70/45, 787/845 quickly i.e. 418684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/15, 70/45, 787/845 is 418684.

LCM(76/15, 70/45, 787/845) = 418684

LCM of 76/15, 70/45, 787/845

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 76/15,70/45,787/845

Given numbers are 76/15,70/45,787/845

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 76,70,787

Least Common Multiple of Numerators i.e. LCM of 76,70,787 is 2093420.

GCF of Denominators means GCF of 15,45,845 as per the given fractions.

GCF of 15,45,845 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,70,787

LCM of Fractions 76/15,70/45,787/845 is 418684

2 76, 70, 787
38, 35, 787

∴ So the LCM of the given numbers is 2 x 38 x 35 x 787 = 2093420

Least Common Multiple of 76,70,787 with GCF Formula

Least Common Multiple of 76,70,787 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 76,70,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,70,787) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,70,787) x common factors =1 x 2 = 2

LCM(76,70,787) = ( 76 × 70 × 787 ) / 2

LCM(76,70,787) = 4186840 / 2

LCM(76,70,787) = 2093420


Lets's calculate GCF of 15,45,845

5 15, 45, 845
3, 9, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2093420/5

Therefore the LCM of Fractions 76/15,70/45,787/845 is 418684

Greatest Common Factor of 15,45,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,45,845 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 45

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

1,3,5,9,15,45

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 15,45,845 . The biggest common factor number is the GCF number.
So the greatest common factor 15,45,845 is 5.


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 76/15, 70/45, 787/845

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 76/15, 70/45, 787/845?

Answer: LCM of Numerators as per given numbers 76/15, 70/45, 787/845 is

LCM of Numerators i.e. for 76,70,787 is 2093420

GCF of denominators i.e. for 15,45,845 is 5.

Thus, LCM of Fractions is 418684.Finally, LCM of Fractions for 76/15, 70/45, 787/845 is 418684.