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LCM of 757, 802, 401

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


Find the LCM of 757, 802, 401 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 757, 802, 401. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,802,401

Given numbers are 757,802,401

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

The LCM of 757,802,401 is 607114.

Find LCM of 757,802,401 with Prime Factorization


401 757, 802, 401
757, 2, 1

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

401 x 757 x 2 x 1 = 607114

Therefore, the lowest common multiple of 757,802,401 is 607114.

LCM Formula to Find Lowest Common Multiple of 757,802,401

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.

757 x 802 x 401 = 243452714

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.

757 : 1, 757

802 : 1, 2, 401, 802

401 : 1, 401

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,802,401, is 1.

Now, the common factors can be found like this.

757:757

802:2x 401

401:401

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

401 = 401

Therefore, the value for common factors is 401.

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 = 243452714/(1x401)

LCM = 243452714/401

LCM = 607114

Thus, we can understand that the LCM of 757,802,401 is 607114.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 757, 802, 401

1. What is the LCM of 757, 802, 401?

Answer: LCM of 757, 802, 401 is 607114.

2. How to calculate the LCM of 757, 802, 401?

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 757, 802, 401.

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}.