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LCM of 987, 438, 467, 346, 344

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


Find the LCM of 987, 438, 467, 346, 344 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 987, 438, 467, 346, 344. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 987,438,467,346,344

Given numbers are 987,438,467,346,344

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

The LCM of 987,438,467,346,344 is 2002448885304.

Find LCM of 987,438,467,346,344 with Prime Factorization


2 987, 438, 467, 346, 344
3 987, 219, 467, 173, 172
329, 73, 467, 173, 172

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

2 x 3 x 329 x 73 x 467 x 173 x 172 = 2002448885304

Therefore, the lowest common multiple of 987,438,467,346,344 is 2002448885304.

LCM Formula to Find Lowest Common Multiple of 987,438,467,346,344

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.

987 x 438 x 467 x 346 x 344 = 24029386623648

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.

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

467 : 1, 467

346 : 1, 2, 173, 346

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,438,467,346,344, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

438:2x 3x 73

467:467

346:2x 173

344:2x 2x 2x 43

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 3 = 12

Therefore, the value for common factors is 12.

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 = 24029386623648/(1x12)

LCM = 24029386623648/12

LCM = 2002448885304

Thus, we can understand that the LCM of 987,438,467,346,344 is 2002448885304.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 987, 438, 467, 346, 344

1. What is the LCM of 987, 438, 467, 346, 344?

Answer: LCM of 987, 438, 467, 346, 344 is 2002448885304.

2. How to calculate the LCM of 987, 438, 467, 346, 344?

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 987, 438, 467, 346, 344.

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}.