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LCM of 403, 252, 921, 624, 318

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


Find the LCM of 403, 252, 921, 624, 318 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 403, 252, 921, 624, 318. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 403,252,921,624,318

Given numbers are 403,252,921,624,318

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

The LCM of 403,252,921,624,318 is 6609670704.

Find LCM of 403,252,921,624,318 with Prime Factorization


2 403, 252, 921, 624, 318
2 403, 126, 921, 312, 159
3 403, 63, 921, 156, 159
13 403, 21, 307, 52, 53
31, 21, 307, 4, 53

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

2 x 2 x 3 x 13 x 31 x 21 x 307 x 4 x 53 = 6609670704

Therefore, the lowest common multiple of 403,252,921,624,318 is 6609670704.

LCM Formula to Find Lowest Common Multiple of 403,252,921,624,318

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.

403 x 252 x 921 x 624 x 318 = 18559955336832

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.

403 : 1, 13, 31, 403

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

921 : 1, 3, 307, 921

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,252,921,624,318, is 1.

Now, the common factors can be found like this.

403:13x 31

252:2x 2x 3x 3x 7

921:3x 307

624:2x 2x 2x 2x 3x 13

318:2x 3x 53

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 3x 3x 13 = 2808

Therefore, the value for common factors is 2808.

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 = 18559955336832/(1x2808)

LCM = 18559955336832/2808

LCM = 6609670704

Thus, we can understand that the LCM of 403,252,921,624,318 is 6609670704.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 403, 252, 921, 624, 318

1. What is the LCM of 403, 252, 921, 624, 318?

Answer: LCM of 403, 252, 921, 624, 318 is 6609670704.

2. How to calculate the LCM of 403, 252, 921, 624, 318?

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 403, 252, 921, 624, 318.

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}.