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LCM of 974, 487, 142, 601

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


Find the LCM of 974, 487, 142, 601 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, 487, 142, 601. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 974,487,142,601

Given numbers are 974,487,142,601

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

The LCM of 974,487,142,601 is 41561554.

Find LCM of 974,487,142,601 with Prime Factorization


2 974, 487, 142, 601
487 487, 487, 71, 601
1, 1, 71, 601

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

2 x 487 x 1 x 1 x 71 x 601 = 41561554

Therefore, the lowest common multiple of 974,487,142,601 is 41561554.

LCM Formula to Find Lowest Common Multiple of 974,487,142,601

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 487 x 142 x 601 = 40480953596

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

487 : 1, 487

142 : 1, 2, 71, 142

601 : 1, 601

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,487,142,601, is 1.

Now, the common factors can be found like this.

974:2x 487

487:487

142:2x 71

601:601

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

2x 487 = 974

Therefore, the value for common factors is 974.

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 = 40480953596/(1x974)

LCM = 40480953596/974

LCM = 41561554

Thus, we can understand that the LCM of 974,487,142,601 is 41561554.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 974, 487, 142, 601

1. What is the LCM of 974, 487, 142, 601?

Answer: LCM of 974, 487, 142, 601 is 41561554.

2. How to calculate the LCM of 974, 487, 142, 601?

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, 487, 142, 601.

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}.