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LCM of 942, 570, 881, 836, 514

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


Find the LCM of 942, 570, 881, 836, 514 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 942, 570, 881, 836, 514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 942,570,881,836,514

Given numbers are 942,570,881,836,514

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

The LCM of 942,570,881,836,514 is 445765261260.

Find LCM of 942,570,881,836,514 with Prime Factorization


2 942, 570, 881, 836, 514
3 471, 285, 881, 418, 257
19 157, 95, 881, 418, 257
157, 5, 881, 22, 257

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

2 x 3 x 19 x 157 x 5 x 881 x 22 x 257 = 445765261260

Therefore, the lowest common multiple of 942,570,881,836,514 is 445765261260.

LCM Formula to Find Lowest Common Multiple of 942,570,881,836,514

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.

942 x 570 x 881 x 836 x 514 = 203268959134560

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.

942 : 1, 2, 3, 6, 157, 314, 471, 942

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

881 : 1, 881

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

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,570,881,836,514, is 1.

Now, the common factors can be found like this.

942:2x 3x 157

570:2x 3x 5x 19

881:881

836:2x 2x 11x 19

514:2x 257

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 19 = 456

Therefore, the value for common factors is 456.

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 = 203268959134560/(1x456)

LCM = 203268959134560/456

LCM = 445765261260

Thus, we can understand that the LCM of 942,570,881,836,514 is 445765261260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 942, 570, 881, 836, 514

1. What is the LCM of 942, 570, 881, 836, 514?

Answer: LCM of 942, 570, 881, 836, 514 is 445765261260.

2. How to calculate the LCM of 942, 570, 881, 836, 514?

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 942, 570, 881, 836, 514.

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}.