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LCM of 157, 528, 143, 312

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


Find the LCM of 157, 528, 143, 312 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 157, 528, 143, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 157,528,143,312

Given numbers are 157,528,143,312

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

The LCM of 157,528,143,312 is 1077648.

Find LCM of 157,528,143,312 with Prime Factorization


2 157, 528, 143, 312
2 157, 264, 143, 156
2 157, 132, 143, 78
3 157, 66, 143, 39
11 157, 22, 143, 13
13 157, 2, 13, 13
157, 2, 1, 1

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

2 x 2 x 2 x 3 x 11 x 13 x 157 x 2 x 1 x 1 = 1077648

Therefore, the lowest common multiple of 157,528,143,312 is 1077648.

LCM Formula to Find Lowest Common Multiple of 157,528,143,312

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.

157 x 528 x 143 x 312 = 3698487936

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.

157 : 1, 157

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

143 : 1, 11, 13, 143

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,528,143,312, is 1.

Now, the common factors can be found like this.

157:157

528:2x 2x 2x 2x 3x 11

143:11x 13

312:2x 2x 2x 3x 13

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 2x 3x 11x 13 = 3432

Therefore, the value for common factors is 3432.

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 = 3698487936/(1x3432)

LCM = 3698487936/3432

LCM = 1077648

Thus, we can understand that the LCM of 157,528,143,312 is 1077648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 157, 528, 143, 312

1. What is the LCM of 157, 528, 143, 312?

Answer: LCM of 157, 528, 143, 312 is 1077648.

2. How to calculate the LCM of 157, 528, 143, 312?

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 157, 528, 143, 312.

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}.