Least Common Multiple of 787/515, 427/442, 369/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 787/515, 427/442, 369/145 quickly i.e. 124002081 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 787/515, 427/442, 369/145 is 124002081.

LCM(787/515, 427/442, 369/145) = 124002081

LCM of 787/515, 427/442, 369/145

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 787/515,427/442,369/145

Given numbers are 787/515,427/442,369/145

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 787,427,369

Least Common Multiple of Numerators i.e. LCM of 787,427,369 is 124002081.

GCF of Denominators means GCF of 515,442,145 as per the given fractions.

GCF of 515,442,145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 787,427,369

LCM of Fractions 787/515,427/442,369/145 is 124002081

Given numbers has no common factors except 1. So, there LCM is their product i.e 124002081

Least Common Multiple of 787,427,369 with GCF Formula

Least Common Multiple of 787,427,369 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 787,427,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,427,369) = 1

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

GCF(787,427,369) x common factors =1 x 1 = 1

LCM(787,427,369) = ( 787 × 427 × 369 ) / 1

LCM(787,427,369) = 124002081 / 1

LCM(787,427,369) = 124002081


Lets's calculate GCF of 515,442,145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124002081/1

Therefore the LCM of Fractions 787/515,427/442,369/145 is 124002081

Greatest Common Factor of 515,442,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,442,145 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 515,442,145 . The biggest common factor number is the GCF number.
So the greatest common factor 515,442,145 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 787/515, 427/442, 369/145

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 787/515, 427/442, 369/145?

Answer: LCM of Numerators as per given numbers 787/515, 427/442, 369/145 is

LCM of Numerators i.e. for 787,427,369 is 124002081

GCF of denominators i.e. for 515,442,145 is 1.

Thus, LCM of Fractions is 124002081.Finally, LCM of Fractions for 787/515, 427/442, 369/145 is 124002081.