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LCM of 850, 492, 615, 740, 841

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


Find the LCM of 850, 492, 615, 740, 841 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 850, 492, 615, 740, 841. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 850,492,615,740,841

Given numbers are 850,492,615,740,841

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

The LCM of 850,492,615,740,841 is 6506564700.

Find LCM of 850,492,615,740,841 with Prime Factorization


2 850, 492, 615, 740, 841
2 425, 246, 615, 370, 841
3 425, 123, 615, 185, 841
5 425, 41, 205, 185, 841
41 85, 41, 41, 37, 841
85, 1, 1, 37, 841

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

2 x 2 x 3 x 5 x 41 x 85 x 1 x 1 x 37 x 841 = 6506564700

Therefore, the lowest common multiple of 850,492,615,740,841 is 6506564700.

LCM Formula to Find Lowest Common Multiple of 850,492,615,740,841

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.

850 x 492 x 615 x 740 x 841 = 160061491620000

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.

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

615 : 1, 3, 5, 15, 41, 123, 205, 615

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,492,615,740,841, is 1.

Now, the common factors can be found like this.

850:2x 5x 5x 17

492:2x 2x 3x 41

615:3x 5x 41

740:2x 2x 5x 37

841:29x 29

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 2x 3x 5x 5x 41 = 24600

Therefore, the value for common factors is 24600.

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 = 160061491620000/(1x24600)

LCM = 160061491620000/24600

LCM = 6506564700

Thus, we can understand that the LCM of 850,492,615,740,841 is 6506564700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 850, 492, 615, 740, 841

1. What is the LCM of 850, 492, 615, 740, 841?

Answer: LCM of 850, 492, 615, 740, 841 is 6506564700.

2. How to calculate the LCM of 850, 492, 615, 740, 841?

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 850, 492, 615, 740, 841.

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}.