Least Common Multiple of 346/836, 345/553, 557/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 346/836, 345/553, 557/790 quickly i.e. 66489090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 346/836, 345/553, 557/790 is 66489090.

LCM(346/836, 345/553, 557/790) = 66489090

LCM of 346/836, 345/553, 557/790

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 346/836,345/553,557/790

Given numbers are 346/836,345/553,557/790

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 346,345,557

Least Common Multiple of Numerators i.e. LCM of 346,345,557 is 66489090.

GCF of Denominators means GCF of 836,553,790 as per the given fractions.

GCF of 836,553,790 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 346,345,557

LCM of Fractions 346/836,345/553,557/790 is 66489090

Given numbers has no common factors except 1. So, there LCM is their product i.e 66489090

Least Common Multiple of 346,345,557 with GCF Formula

Least Common Multiple of 346,345,557 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 346,345,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,345,557) = 1

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

GCF(346,345,557) x common factors =1 x 1 = 1

LCM(346,345,557) = ( 346 × 345 × 557 ) / 1

LCM(346,345,557) = 66489090 / 1

LCM(346,345,557) = 66489090


Lets's calculate GCF of 836,553,790

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66489090/1

Therefore the LCM of Fractions 346/836,345/553,557/790 is 66489090

Greatest Common Factor of 836,553,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,553,790 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 836,553,790 . The biggest common factor number is the GCF number.
So the greatest common factor 836,553,790 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 346/836, 345/553, 557/790

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 346/836, 345/553, 557/790?

Answer: LCM of Numerators as per given numbers 346/836, 345/553, 557/790 is

LCM of Numerators i.e. for 346,345,557 is 66489090

GCF of denominators i.e. for 836,553,790 is 1.

Thus, LCM of Fractions is 66489090.Finally, LCM of Fractions for 346/836, 345/553, 557/790 is 66489090.