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LCM of 881, 744, 749, 935, 963

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


Find the LCM of 881, 744, 749, 935, 963 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 881, 744, 749, 935, 963. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 881,744,749,935,963

Given numbers are 881,744,749,935,963

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

The LCM of 881,744,749,935,963 is 1377093813480.

Find LCM of 881,744,749,935,963 with Prime Factorization


3 881, 744, 749, 935, 963
107 881, 248, 749, 935, 321
881, 248, 7, 935, 3

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

3 x 107 x 881 x 248 x 7 x 935 x 3 = 1377093813480

Therefore, the lowest common multiple of 881,744,749,935,963 is 1377093813480.

LCM Formula to Find Lowest Common Multiple of 881,744,749,935,963

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.

881 x 744 x 749 x 935 x 963 = 442047114127080

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.

881 : 1, 881

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

749 : 1, 7, 107, 749

935 : 1, 5, 11, 17, 55, 85, 187, 935

963 : 1, 3, 9, 107, 321, 963

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,744,749,935,963, is 1.

Now, the common factors can be found like this.

881:881

744:2x 2x 2x 3x 31

749:7x 107

935:5x 11x 17

963:3x 3x 107

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

3x 107 = 321

Therefore, the value for common factors is 321.

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 = 442047114127080/(1x321)

LCM = 442047114127080/321

LCM = 1377093813480

Thus, we can understand that the LCM of 881,744,749,935,963 is 1377093813480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 881, 744, 749, 935, 963

1. What is the LCM of 881, 744, 749, 935, 963?

Answer: LCM of 881, 744, 749, 935, 963 is 1377093813480.

2. How to calculate the LCM of 881, 744, 749, 935, 963?

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 881, 744, 749, 935, 963.

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}.