LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 678, 290, 505, 156, 135

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 678, 290, 505, 156, 135 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 678, 290, 505, 156, 135. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 678,290,505,156,135

Given numbers are 678,290,505,156,135

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 678,290,505,156,135 is 2323458540.

Find LCM of 678,290,505,156,135 with Prime Factorization


2 678, 290, 505, 156, 135
3 339, 145, 505, 78, 135
5 113, 145, 505, 26, 45
113, 29, 101, 26, 9

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 5 x 113 x 29 x 101 x 26 x 9 = 2323458540

Therefore, the lowest common multiple of 678,290,505,156,135 is 2323458540.

LCM Formula to Find Lowest Common Multiple of 678,290,505,156,135

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

678 x 290 x 505 x 156 x 135 = 2091112686000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

678 : 1, 2, 3, 6, 113, 226, 339, 678

290 : 1, 2, 5, 10, 29, 58, 145, 290

505 : 1, 5, 101, 505

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

135 : 1, 3, 5, 9, 15, 27, 45, 135

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,290,505,156,135, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

290:2x 5x 29

505:5x 101

156:2x 2x 3x 13

135:3x 3x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 2091112686000/(1x900)

LCM = 2091112686000/900

LCM = 2323458540

Thus, we can understand that the LCM of 678,290,505,156,135 is 2323458540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 678, 290, 505, 156, 135

1. What is the LCM of 678, 290, 505, 156, 135?

Answer: LCM of 678, 290, 505, 156, 135 is 2323458540.

2. How to calculate the LCM of 678, 290, 505, 156, 135?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 678, 290, 505, 156, 135.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.