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LCM of 974, 807, 999, 487, 199

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


Find the LCM of 974, 807, 999, 487, 199 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, 807, 999, 487, 199. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 974,807,999,487,199

Given numbers are 974,807,999,487,199

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

The LCM of 974,807,999,487,199 is 52087054806.

Find LCM of 974,807,999,487,199 with Prime Factorization


3 974, 807, 999, 487, 199
487 974, 269, 333, 487, 199
2, 269, 333, 1, 199

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

3 x 487 x 2 x 269 x 333 x 1 x 199 = 52087054806

Therefore, the lowest common multiple of 974,807,999,487,199 is 52087054806.

LCM Formula to Find Lowest Common Multiple of 974,807,999,487,199

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 807 x 999 x 487 x 199 = 76099187071566

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

807 : 1, 3, 269, 807

999 : 1, 3, 9, 27, 37, 111, 333, 999

487 : 1, 487

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,807,999,487,199, is 1.

Now, the common factors can be found like this.

974:2x 487

807:3x 269

999:3x 3x 3x 37

487:487

199:199

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

3x 487 = 1461

Therefore, the value for common factors is 1461.

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 = 76099187071566/(1x1461)

LCM = 76099187071566/1461

LCM = 52087054806

Thus, we can understand that the LCM of 974,807,999,487,199 is 52087054806.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 974, 807, 999, 487, 199

1. What is the LCM of 974, 807, 999, 487, 199?

Answer: LCM of 974, 807, 999, 487, 199 is 52087054806.

2. How to calculate the LCM of 974, 807, 999, 487, 199?

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, 807, 999, 487, 199.

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}.