Least Common Multiple of 690/46, 183/79, 456/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/46, 183/79, 456/918 quickly i.e. 3198840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/46, 183/79, 456/918 is 3198840.

LCM(690/46, 183/79, 456/918) = 3198840

LCM of 690/46, 183/79, 456/918

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 690/46,183/79,456/918

Given numbers are 690/46,183/79,456/918

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 690,183,456

Least Common Multiple of Numerators i.e. LCM of 690,183,456 is 3198840.

GCF of Denominators means GCF of 46,79,918 as per the given fractions.

GCF of 46,79,918 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,183,456

LCM of Fractions 690/46,183/79,456/918 is 3198840

2 690, 183, 456
3 345, 183, 228
115, 61, 76

∴ So the LCM of the given numbers is 2 x 3 x 115 x 61 x 76 = 3198840

Least Common Multiple of 690,183,456 with GCF Formula

Least Common Multiple of 690,183,456 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 690,183,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,183,456) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(690,183,456) x common factors =3 x 6 = 18

LCM(690,183,456) = ( 690 × 183 × 456 ) / 18

LCM(690,183,456) = 57579120 / 18

LCM(690,183,456) = 3198840


Lets's calculate GCF of 46,79,918

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3198840/1

Therefore the LCM of Fractions 690/46,183/79,456/918 is 3198840

Greatest Common Factor of 46,79,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,79,918 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 46,79,918 . The biggest common factor number is the GCF number.
So the greatest common factor 46,79,918 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 690/46, 183/79, 456/918

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 690/46, 183/79, 456/918?

Answer: LCM of Numerators as per given numbers 690/46, 183/79, 456/918 is

LCM of Numerators i.e. for 690,183,456 is 3198840

GCF of denominators i.e. for 46,79,918 is 1.

Thus, LCM of Fractions is 3198840.Finally, LCM of Fractions for 690/46, 183/79, 456/918 is 3198840.