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LCM of 931, 421, 152, 312

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


Find the LCM of 931, 421, 152, 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 931, 421, 152, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 931,421,152,312

Given numbers are 931,421,152,312

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

The LCM of 931,421,152,312 is 122288712.

Find LCM of 931,421,152,312 with Prime Factorization


2 931, 421, 152, 312
2 931, 421, 76, 156
2 931, 421, 38, 78
19 931, 421, 19, 39
49, 421, 1, 39

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

2 x 2 x 2 x 19 x 49 x 421 x 1 x 39 = 122288712

Therefore, the lowest common multiple of 931,421,152,312 is 122288712.

LCM Formula to Find Lowest Common Multiple of 931,421,152,312

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.

931 x 421 x 152 x 312 = 18587884224

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.

931 : 1, 7, 19, 49, 133, 931

421 : 1, 421

152 : 1, 2, 4, 8, 19, 38, 76, 152

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 931,421,152,312, is 1.

Now, the common factors can be found like this.

931:7x 7x 19

421:421

152:2x 2x 2x 19

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 19 = 152

Therefore, the value for common factors is 152.

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 = 18587884224/(1x152)

LCM = 18587884224/152

LCM = 122288712

Thus, we can understand that the LCM of 931,421,152,312 is 122288712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 931, 421, 152, 312

1. What is the LCM of 931, 421, 152, 312?

Answer: LCM of 931, 421, 152, 312 is 122288712.

2. How to calculate the LCM of 931, 421, 152, 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 931, 421, 152, 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}.