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LCM of 434, 522, 294, 987, 292

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


Find the LCM of 434, 522, 294, 987, 292 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 434, 522, 294, 987, 292. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 434,522,294,987,292

Given numbers are 434,522,294,987,292

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

The LCM of 434,522,294,987,292 is 5441003316.

Find LCM of 434,522,294,987,292 with Prime Factorization


2 434, 522, 294, 987, 292
3 217, 261, 147, 987, 146
7 217, 87, 49, 329, 146
31, 87, 7, 47, 146

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

2 x 3 x 7 x 31 x 87 x 7 x 47 x 146 = 5441003316

Therefore, the lowest common multiple of 434,522,294,987,292 is 5441003316.

LCM Formula to Find Lowest Common Multiple of 434,522,294,987,292

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.

434 x 522 x 294 x 987 x 292 = 19195859698848

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.

434 : 1, 2, 7, 14, 31, 62, 217, 434

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

987 : 1, 3, 7, 21, 47, 141, 329, 987

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,522,294,987,292, is 1.

Now, the common factors can be found like this.

434:2x 7x 31

522:2x 3x 3x 29

294:2x 3x 7x 7

987:3x 7x 47

292:2x 2x 73

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 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 19195859698848/(1x3528)

LCM = 19195859698848/3528

LCM = 5441003316

Thus, we can understand that the LCM of 434,522,294,987,292 is 5441003316.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 434, 522, 294, 987, 292

1. What is the LCM of 434, 522, 294, 987, 292?

Answer: LCM of 434, 522, 294, 987, 292 is 5441003316.

2. How to calculate the LCM of 434, 522, 294, 987, 292?

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 434, 522, 294, 987, 292.

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}.