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LCM of 725, 838, 986, 473, 944

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


Find the LCM of 725, 838, 986, 473, 944 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 725, 838, 986, 473, 944. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 725,838,986,473,944

Given numbers are 725,838,986,473,944

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

The LCM of 725,838,986,473,944 is 2305866107600.

Find LCM of 725,838,986,473,944 with Prime Factorization


2 725, 838, 986, 473, 944
29 725, 419, 493, 473, 472
25, 419, 17, 473, 472

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

2 x 29 x 25 x 419 x 17 x 473 x 472 = 2305866107600

Therefore, the lowest common multiple of 725,838,986,473,944 is 2305866107600.

LCM Formula to Find Lowest Common Multiple of 725,838,986,473,944

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.

725 x 838 x 986 x 473 x 944 = 267480468481600

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.

725 : 1, 5, 25, 29, 145, 725

838 : 1, 2, 419, 838

986 : 1, 2, 17, 29, 34, 58, 493, 986

473 : 1, 11, 43, 473

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,838,986,473,944, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

838:2x 419

986:2x 17x 29

473:11x 43

944:2x 2x 2x 2x 59

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 29 = 116

Therefore, the value for common factors is 116.

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 = 267480468481600/(1x116)

LCM = 267480468481600/116

LCM = 2305866107600

Thus, we can understand that the LCM of 725,838,986,473,944 is 2305866107600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 725, 838, 986, 473, 944

1. What is the LCM of 725, 838, 986, 473, 944?

Answer: LCM of 725, 838, 986, 473, 944 is 2305866107600.

2. How to calculate the LCM of 725, 838, 986, 473, 944?

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 725, 838, 986, 473, 944.

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}.