Least Common Multiple of 279/830, 411/348, 693/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/830, 411/348, 693/746 quickly i.e. 2943171/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/830, 411/348, 693/746 is 2943171/2.

LCM(279/830, 411/348, 693/746) = 2943171/2

LCM of 279/830, 411/348, 693/746

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 279/830,411/348,693/746

Given numbers are 279/830,411/348,693/746

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 279,411,693

Least Common Multiple of Numerators i.e. LCM of 279,411,693 is 2943171.

GCF of Denominators means GCF of 830,348,746 as per the given fractions.

GCF of 830,348,746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,411,693

LCM of Fractions 279/830,411/348,693/746 is 2943171/2

3 279, 411, 693
3 93, 137, 231
31, 137, 77

∴ So the LCM of the given numbers is 3 x 3 x 31 x 137 x 77 = 2943171

Least Common Multiple of 279,411,693 with GCF Formula

Least Common Multiple of 279,411,693 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 279,411,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,411,693) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(279,411,693) x common factors =3 x 9 = 27

LCM(279,411,693) = ( 279 × 411 × 693 ) / 27

LCM(279,411,693) = 79465617 / 27

LCM(279,411,693) = 2943171


Lets's calculate GCF of 830,348,746

2 830, 348, 746
415, 174, 373

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2943171/2

Therefore the LCM of Fractions 279/830,411/348,693/746 is 2943171/2

Greatest Common Factor of 830,348,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,348,746 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 830,348,746 . The biggest common factor number is the GCF number.
So the greatest common factor 830,348,746 is 2.


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 279/830, 411/348, 693/746

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 279/830, 411/348, 693/746?

Answer: LCM of Numerators as per given numbers 279/830, 411/348, 693/746 is

LCM of Numerators i.e. for 279,411,693 is 2943171

GCF of denominators i.e. for 830,348,746 is 2.

Thus, LCM of Fractions is 2943171/2.Finally, LCM of Fractions for 279/830, 411/348, 693/746 is 2943171/2.