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LCM of 961, 774, 653, 898, 749

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


Find the LCM of 961, 774, 653, 898, 749 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 961, 774, 653, 898, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,774,653,898,749

Given numbers are 961,774,653,898,749

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

The LCM of 961,774,653,898,749 is 163344940985142.

Find LCM of 961,774,653,898,749 with Prime Factorization


2 961, 774, 653, 898, 749
961, 387, 653, 449, 749

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

2 x 961 x 387 x 653 x 449 x 749 = 163344940985142

Therefore, the lowest common multiple of 961,774,653,898,749 is 163344940985142.

LCM Formula to Find Lowest Common Multiple of 961,774,653,898,749

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.

961 x 774 x 653 x 898 x 749 = 326689881970284

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.

961 : 1, 31, 961

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

653 : 1, 653

898 : 1, 2, 449, 898

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,774,653,898,749, is 1.

Now, the common factors can be found like this.

961:31x 31

774:2x 3x 3x 43

653:653

898:2x 449

749:7x 107

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 = 326689881970284/(1x2)

LCM = 326689881970284/2

LCM = 163344940985142

Thus, we can understand that the LCM of 961,774,653,898,749 is 163344940985142.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 774, 653, 898, 749

1. What is the LCM of 961, 774, 653, 898, 749?

Answer: LCM of 961, 774, 653, 898, 749 is 163344940985142.

2. How to calculate the LCM of 961, 774, 653, 898, 749?

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 961, 774, 653, 898, 749.

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}.