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LCM of 757, 836, 189, 898, 751

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


Find the LCM of 757, 836, 189, 898, 751 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, 836, 189, 898, 751. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,836,189,898,751

Given numbers are 757,836,189,898,751

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

The LCM of 757,836,189,898,751 is 40332044632572.

Find LCM of 757,836,189,898,751 with Prime Factorization


2 757, 836, 189, 898, 751
757, 418, 189, 449, 751

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

2 x 757 x 418 x 189 x 449 x 751 = 40332044632572

Therefore, the lowest common multiple of 757,836,189,898,751 is 40332044632572.

LCM Formula to Find Lowest Common Multiple of 757,836,189,898,751

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 836 x 189 x 898 x 751 = 80664089265144

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

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

189 : 1, 3, 7, 9, 21, 27, 63, 189

898 : 1, 2, 449, 898

751 : 1, 751

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,836,189,898,751, is 1.

Now, the common factors can be found like this.

757:757

836:2x 2x 11x 19

189:3x 3x 3x 7

898:2x 449

751:751

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

2 = 2

Therefore, the value for common factors is 2.

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 = 80664089265144/(1x2)

LCM = 80664089265144/2

LCM = 40332044632572

Thus, we can understand that the LCM of 757,836,189,898,751 is 40332044632572.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 757, 836, 189, 898, 751

1. What is the LCM of 757, 836, 189, 898, 751?

Answer: LCM of 757, 836, 189, 898, 751 is 40332044632572.

2. How to calculate the LCM of 757, 836, 189, 898, 751?

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, 836, 189, 898, 751.

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}.