Least Common Multiple of 678/606, 5994/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/606, 5994/149 quickly i.e. 677322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/606, 5994/149 is 677322.

LCM(678/606, 5994/149) = 677322

LCM of 678/606, 5994/149

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 678/606,5994/149

Given numbers are 678/606,5994/149

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 678,5994

Least Common Multiple of Numerators i.e. LCM of 678,5994 is 677322.

GCF of Denominators means GCF of 606,149 as per the given fractions.

GCF of 606,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,5994

LCM of Fractions 678/606,5994/149 is 677322

2 678, 5994
3 339, 2997
113, 999

∴ So the LCM of the given numbers is 2 x 3 x 113 x 999 = 677322

Least Common Multiple of 678,5994 with GCF Formula

Least Common Multiple of 678,5994 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 678,5994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,5994) = 6

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

GCF(678,5994) x common factors =6 x 1 = 6

LCM(678,5994) = ( 678 × 5994 ) / 6

LCM(678,5994) = 4063932 / 6

LCM(678,5994) = 677322


Lets's calculate GCF of 606,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 677322/1

Therefore the LCM of Fractions 678/606,5994/149 is 677322

Greatest Common Factor of 606,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,149 By Matching Biggest Common Factor Method

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 606,149 . The biggest common factor number is the GCF number.
So the greatest common factor 606,149 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 678/606, 5994/149

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 678/606, 5994/149?

Answer: LCM of Numerators as per given numbers 678/606, 5994/149 is

LCM of Numerators i.e. for 678,5994 is 677322

GCF of denominators i.e. for 606,149 is 1.

Thus, LCM of Fractions is 677322.Finally, LCM of Fractions for 678/606, 5994/149 is 677322.