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LCM of 410, 889, 533, 757

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


Find the LCM of 410, 889, 533, 757 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 410, 889, 533, 757. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 410,889,533,757

Given numbers are 410,889,533,757

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

The LCM of 410,889,533,757 is 3586946090.

Find LCM of 410,889,533,757 with Prime Factorization


41 410, 889, 533, 757
10, 889, 13, 757

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

41 x 10 x 889 x 13 x 757 = 3586946090

Therefore, the lowest common multiple of 410,889,533,757 is 3586946090.

LCM Formula to Find Lowest Common Multiple of 410,889,533,757

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.

410 x 889 x 533 x 757 = 147064789690

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

889 : 1, 7, 127, 889

533 : 1, 13, 41, 533

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,889,533,757, is 1.

Now, the common factors can be found like this.

410:2x 5x 41

889:7x 127

533:13x 41

757:757

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

41 = 41

Therefore, the value for common factors is 41.

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 = 147064789690/(1x41)

LCM = 147064789690/41

LCM = 3586946090

Thus, we can understand that the LCM of 410,889,533,757 is 3586946090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 410, 889, 533, 757

1. What is the LCM of 410, 889, 533, 757?

Answer: LCM of 410, 889, 533, 757 is 3586946090.

2. How to calculate the LCM of 410, 889, 533, 757?

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 410, 889, 533, 757.

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}.