Least Common Multiple of 10/287, 995/434, 780/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/287, 995/434, 780/736 quickly i.e. 155220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/287, 995/434, 780/736 is 155220.

LCM(10/287, 995/434, 780/736) = 155220

LCM of 10/287, 995/434, 780/736

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 10/287,995/434,780/736

Given numbers are 10/287,995/434,780/736

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 10,995,780

Least Common Multiple of Numerators i.e. LCM of 10,995,780 is 155220.

GCF of Denominators means GCF of 287,434,736 as per the given fractions.

GCF of 287,434,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,995,780

LCM of Fractions 10/287,995/434,780/736 is 155220

2 10, 995, 780
5 5, 995, 390
1, 199, 78

∴ So the LCM of the given numbers is 2 x 5 x 1 x 199 x 78 = 155220

Least Common Multiple of 10,995,780 with GCF Formula

Least Common Multiple of 10,995,780 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 10,995,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,995,780) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(10,995,780) x common factors =5 x 10 = 50

LCM(10,995,780) = ( 10 × 995 × 780 ) / 50

LCM(10,995,780) = 7761000 / 50

LCM(10,995,780) = 155220


Lets's calculate GCF of 287,434,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155220/1

Therefore the LCM of Fractions 10/287,995/434,780/736 is 155220

Greatest Common Factor of 287,434,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,434,736 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 287,434,736 . The biggest common factor number is the GCF number.
So the greatest common factor 287,434,736 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 10/287, 995/434, 780/736

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 10/287, 995/434, 780/736?

Answer: LCM of Numerators as per given numbers 10/287, 995/434, 780/736 is

LCM of Numerators i.e. for 10,995,780 is 155220

GCF of denominators i.e. for 287,434,736 is 1.

Thus, LCM of Fractions is 155220.Finally, LCM of Fractions for 10/287, 995/434, 780/736 is 155220.