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LCM of 974, 698, 754, 558

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


Find the LCM of 974, 698, 754, 558 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 974, 698, 754, 558. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 974,698,754,558

Given numbers are 974,698,754,558

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

The LCM of 974,698,754,558 is 35754436458.

Find LCM of 974,698,754,558 with Prime Factorization


2 974, 698, 754, 558
487, 349, 377, 279

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

2 x 487 x 349 x 377 x 279 = 35754436458

Therefore, the lowest common multiple of 974,698,754,558 is 35754436458.

LCM Formula to Find Lowest Common Multiple of 974,698,754,558

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.

974 x 698 x 754 x 558 = 286035491664

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.

974 : 1, 2, 487, 974

698 : 1, 2, 349, 698

754 : 1, 2, 13, 26, 29, 58, 377, 754

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,698,754,558, is 2.

Now, the common factors can be found like this.

974:2x 487

698:2x 349

754:2x 13x 29

558:2x 3x 3x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 286035491664/(2x4)

LCM = 286035491664/8

LCM = 35754436458

Thus, we can understand that the LCM of 974,698,754,558 is 35754436458.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 974, 698, 754, 558

1. What is the LCM of 974, 698, 754, 558?

Answer: LCM of 974, 698, 754, 558 is 35754436458.

2. How to calculate the LCM of 974, 698, 754, 558?

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 974, 698, 754, 558.

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}.