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LCM of 741, 156, 357, 899

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


Find the LCM of 741, 156, 357, 899 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 741, 156, 357, 899. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,156,357,899

Given numbers are 741,156,357,899

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

The LCM of 741,156,357,899 is 317091684.

Find LCM of 741,156,357,899 with Prime Factorization


3 741, 156, 357, 899
13 247, 52, 119, 899
19, 4, 119, 899

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

3 x 13 x 19 x 4 x 119 x 899 = 317091684

Therefore, the lowest common multiple of 741,156,357,899 is 317091684.

LCM Formula to Find Lowest Common Multiple of 741,156,357,899

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.

741 x 156 x 357 x 899 = 37099727028

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

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

357 : 1, 3, 7, 17, 21, 51, 119, 357

899 : 1, 29, 31, 899

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,156,357,899, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

156:2x 2x 3x 13

357:3x 7x 17

899:29x 31

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

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 37099727028/(1x117)

LCM = 37099727028/117

LCM = 317091684

Thus, we can understand that the LCM of 741,156,357,899 is 317091684.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 156, 357, 899

1. What is the LCM of 741, 156, 357, 899?

Answer: LCM of 741, 156, 357, 899 is 317091684.

2. How to calculate the LCM of 741, 156, 357, 899?

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 741, 156, 357, 899.

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}.