Least Common Multiple of 277/685, 307/812, 136/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 277/685, 307/812, 136/810 quickly i.e. 11565304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/685, 307/812, 136/810 is 11565304.

LCM(277/685, 307/812, 136/810) = 11565304

LCM of 277/685, 307/812, 136/810

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 277/685,307/812,136/810

Given numbers are 277/685,307/812,136/810

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 277,307,136

Least Common Multiple of Numerators i.e. LCM of 277,307,136 is 11565304.

GCF of Denominators means GCF of 685,812,810 as per the given fractions.

GCF of 685,812,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,307,136

LCM of Fractions 277/685,307/812,136/810 is 11565304

Given numbers has no common factors except 1. So, there LCM is their product i.e 11565304

Least Common Multiple of 277,307,136 with GCF Formula

Least Common Multiple of 277,307,136 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 277,307,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,307,136) = 1

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

GCF(277,307,136) x common factors =1 x 1 = 1

LCM(277,307,136) = ( 277 × 307 × 136 ) / 1

LCM(277,307,136) = 11565304 / 1

LCM(277,307,136) = 11565304


Lets's calculate GCF of 685,812,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11565304/1

Therefore the LCM of Fractions 277/685,307/812,136/810 is 11565304

Greatest Common Factor of 685,812,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,812,810 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 685,812,810 . The biggest common factor number is the GCF number.
So the greatest common factor 685,812,810 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 277/685, 307/812, 136/810

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 277/685, 307/812, 136/810?

Answer: LCM of Numerators as per given numbers 277/685, 307/812, 136/810 is

LCM of Numerators i.e. for 277,307,136 is 11565304

GCF of denominators i.e. for 685,812,810 is 1.

Thus, LCM of Fractions is 11565304.Finally, LCM of Fractions for 277/685, 307/812, 136/810 is 11565304.