Least Common Multiple of 766/83, 622/19, 838/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/83, 622/19, 838/701 quickly i.e. 99816694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/83, 622/19, 838/701 is 99816694.

LCM(766/83, 622/19, 838/701) = 99816694

LCM of 766/83, 622/19, 838/701

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 766/83,622/19,838/701

Given numbers are 766/83,622/19,838/701

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 766,622,838

Least Common Multiple of Numerators i.e. LCM of 766,622,838 is 99816694.

GCF of Denominators means GCF of 83,19,701 as per the given fractions.

GCF of 83,19,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,622,838

LCM of Fractions 766/83,622/19,838/701 is 99816694

2 766, 622, 838
383, 311, 419

∴ So the LCM of the given numbers is 2 x 383 x 311 x 419 = 99816694

Least Common Multiple of 766,622,838 with GCF Formula

Least Common Multiple of 766,622,838 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 766,622,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,622,838) = 2

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

GCF(766,622,838) x common factors =2 x 2 = 4

LCM(766,622,838) = ( 766 × 622 × 838 ) / 4

LCM(766,622,838) = 399266776 / 4

LCM(766,622,838) = 99816694


Lets's calculate GCF of 83,19,701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99816694/1

Therefore the LCM of Fractions 766/83,622/19,838/701 is 99816694

Greatest Common Factor of 83,19,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,19,701 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 83,19,701 . The biggest common factor number is the GCF number.
So the greatest common factor 83,19,701 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 766/83, 622/19, 838/701

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 766/83, 622/19, 838/701?

Answer: LCM of Numerators as per given numbers 766/83, 622/19, 838/701 is

LCM of Numerators i.e. for 766,622,838 is 99816694

GCF of denominators i.e. for 83,19,701 is 1.

Thus, LCM of Fractions is 99816694.Finally, LCM of Fractions for 766/83, 622/19, 838/701 is 99816694.