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LCM of 901, 994, 198, 402, 721

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


Find the LCM of 901, 994, 198, 402, 721 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 901, 994, 198, 402, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,994,198,402,721

Given numbers are 901,994,198,402,721

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

The LCM of 901,994,198,402,721 is 611868925206.

Find LCM of 901,994,198,402,721 with Prime Factorization


2 901, 994, 198, 402, 721
3 901, 497, 99, 201, 721
7 901, 497, 33, 67, 721
901, 71, 33, 67, 103

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

2 x 3 x 7 x 901 x 71 x 33 x 67 x 103 = 611868925206

Therefore, the lowest common multiple of 901,994,198,402,721 is 611868925206.

LCM Formula to Find Lowest Common Multiple of 901,994,198,402,721

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.

901 x 994 x 198 x 402 x 721 = 51396989717304

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.

901 : 1, 17, 53, 901

994 : 1, 2, 7, 14, 71, 142, 497, 994

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,994,198,402,721, is 1.

Now, the common factors can be found like this.

901:17x 53

994:2x 7x 71

198:2x 3x 3x 11

402:2x 3x 67

721:7x 103

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 = 51396989717304/(1x84)

LCM = 51396989717304/84

LCM = 611868925206

Thus, we can understand that the LCM of 901,994,198,402,721 is 611868925206.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 994, 198, 402, 721

1. What is the LCM of 901, 994, 198, 402, 721?

Answer: LCM of 901, 994, 198, 402, 721 is 611868925206.

2. How to calculate the LCM of 901, 994, 198, 402, 721?

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 901, 994, 198, 402, 721.

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}.