Least Common Multiple of 83/266, 89/607, 769/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/266, 89/607, 769/812 quickly i.e. 5680603 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/266, 89/607, 769/812 is 5680603.

LCM(83/266, 89/607, 769/812) = 5680603

LCM of 83/266, 89/607, 769/812

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 83/266,89/607,769/812

Given numbers are 83/266,89/607,769/812

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 83,89,769

Least Common Multiple of Numerators i.e. LCM of 83,89,769 is 5680603.

GCF of Denominators means GCF of 266,607,812 as per the given fractions.

GCF of 266,607,812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,89,769

LCM of Fractions 83/266,89/607,769/812 is 5680603

Given numbers has no common factors except 1. So, there LCM is their product i.e 5680603

Least Common Multiple of 83,89,769 with GCF Formula

Least Common Multiple of 83,89,769 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 83,89,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,89,769) = 1

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

GCF(83,89,769) x common factors =1 x 1 = 1

LCM(83,89,769) = ( 83 × 89 × 769 ) / 1

LCM(83,89,769) = 5680603 / 1

LCM(83,89,769) = 5680603


Lets's calculate GCF of 266,607,812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5680603/1

Therefore the LCM of Fractions 83/266,89/607,769/812 is 5680603

Greatest Common Factor of 266,607,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,607,812 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

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

Greatest Common Factor

We found the factors 266,607,812 . The biggest common factor number is the GCF number.
So the greatest common factor 266,607,812 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 83/266, 89/607, 769/812

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 83/266, 89/607, 769/812?

Answer: LCM of Numerators as per given numbers 83/266, 89/607, 769/812 is

LCM of Numerators i.e. for 83,89,769 is 5680603

GCF of denominators i.e. for 266,607,812 is 1.

Thus, LCM of Fractions is 5680603.Finally, LCM of Fractions for 83/266, 89/607, 769/812 is 5680603.