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LCM of 937, 402, 623, 282, 532

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


Find the LCM of 937, 402, 623, 282, 532 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 937, 402, 623, 282, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 937,402,623,282,532

Given numbers are 937,402,623,282,532

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

The LCM of 937,402,623,282,532 is 419116872972.

Find LCM of 937,402,623,282,532 with Prime Factorization


2 937, 402, 623, 282, 532
3 937, 201, 623, 141, 266
7 937, 67, 623, 47, 266
937, 67, 89, 47, 38

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

2 x 3 x 7 x 937 x 67 x 89 x 47 x 38 = 419116872972

Therefore, the lowest common multiple of 937,402,623,282,532 is 419116872972.

LCM Formula to Find Lowest Common Multiple of 937,402,623,282,532

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.

937 x 402 x 623 x 282 x 532 = 35205817329648

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.

937 : 1, 937

402 : 1, 2, 3, 6, 67, 134, 201, 402

623 : 1, 7, 89, 623

282 : 1, 2, 3, 6, 47, 94, 141, 282

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,402,623,282,532, is 1.

Now, the common factors can be found like this.

937:937

402:2x 3x 67

623:7x 89

282:2x 3x 47

532:2x 2x 7x 19

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 3x 7 = 84

Therefore, the value for common factors is 84.

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 = 35205817329648/(1x84)

LCM = 35205817329648/84

LCM = 419116872972

Thus, we can understand that the LCM of 937,402,623,282,532 is 419116872972.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 937, 402, 623, 282, 532

1. What is the LCM of 937, 402, 623, 282, 532?

Answer: LCM of 937, 402, 623, 282, 532 is 419116872972.

2. How to calculate the LCM of 937, 402, 623, 282, 532?

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 937, 402, 623, 282, 532.

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}.