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LCM of 918, 347, 391, 132, 463

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


Find the LCM of 918, 347, 391, 132, 463 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 918, 347, 391, 132, 463. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 918,347,391,132,463

Given numbers are 918,347,391,132,463

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

The LCM of 918,347,391,132,463 is 74628319788.

Find LCM of 918,347,391,132,463 with Prime Factorization


2 918, 347, 391, 132, 463
3 459, 347, 391, 66, 463
17 153, 347, 391, 22, 463
9, 347, 23, 22, 463

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

2 x 3 x 17 x 9 x 347 x 23 x 22 x 463 = 74628319788

Therefore, the lowest common multiple of 918,347,391,132,463 is 74628319788.

LCM Formula to Find Lowest Common Multiple of 918,347,391,132,463

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.

918 x 347 x 391 x 132 x 463 = 7612088618376

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.

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

347 : 1, 347

391 : 1, 17, 23, 391

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

463 : 1, 463

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,347,391,132,463, is 1.

Now, the common factors can be found like this.

918:2x 3x 3x 3x 17

347:347

391:17x 23

132:2x 2x 3x 11

463:463

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

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 7612088618376/(1x102)

LCM = 7612088618376/102

LCM = 74628319788

Thus, we can understand that the LCM of 918,347,391,132,463 is 74628319788.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 918, 347, 391, 132, 463

1. What is the LCM of 918, 347, 391, 132, 463?

Answer: LCM of 918, 347, 391, 132, 463 is 74628319788.

2. How to calculate the LCM of 918, 347, 391, 132, 463?

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 918, 347, 391, 132, 463.

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}.