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LCM of 469, 924, 458, 611

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


Find the LCM of 469, 924, 458, 611 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 469, 924, 458, 611. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,924,458,611

Given numbers are 469,924,458,611

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

The LCM of 469,924,458,611 is 8662105452.

Find LCM of 469,924,458,611 with Prime Factorization


2 469, 924, 458, 611
7 469, 462, 229, 611
67, 66, 229, 611

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

2 x 7 x 67 x 66 x 229 x 611 = 8662105452

Therefore, the lowest common multiple of 469,924,458,611 is 8662105452.

LCM Formula to Find Lowest Common Multiple of 469,924,458,611

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.

469 x 924 x 458 x 611 = 121269476328

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.

469 : 1, 7, 67, 469

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

458 : 1, 2, 229, 458

611 : 1, 13, 47, 611

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,924,458,611, is 1.

Now, the common factors can be found like this.

469:7x 67

924:2x 2x 3x 7x 11

458:2x 229

611:13x 47

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 121269476328/(1x14)

LCM = 121269476328/14

LCM = 8662105452

Thus, we can understand that the LCM of 469,924,458,611 is 8662105452.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 924, 458, 611

1. What is the LCM of 469, 924, 458, 611?

Answer: LCM of 469, 924, 458, 611 is 8662105452.

2. How to calculate the LCM of 469, 924, 458, 611?

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 469, 924, 458, 611.

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}.