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LCM of 821, 941, 127, 714, 598

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


Find the LCM of 821, 941, 127, 714, 598 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 821, 941, 127, 714, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 821,941,127,714,598

Given numbers are 821,941,127,714,598

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

The LCM of 821,941,127,714,598 is 20946231621042.

Find LCM of 821,941,127,714,598 with Prime Factorization


2 821, 941, 127, 714, 598
821, 941, 127, 357, 299

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

2 x 821 x 941 x 127 x 357 x 299 = 20946231621042

Therefore, the lowest common multiple of 821,941,127,714,598 is 20946231621042.

LCM Formula to Find Lowest Common Multiple of 821,941,127,714,598

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.

821 x 941 x 127 x 714 x 598 = 41892463242084

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.

821 : 1, 821

941 : 1, 941

127 : 1, 127

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,941,127,714,598, is 1.

Now, the common factors can be found like this.

821:821

941:941

127:127

714:2x 3x 7x 17

598:2x 13x 23

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 = 41892463242084/(1x2)

LCM = 41892463242084/2

LCM = 20946231621042

Thus, we can understand that the LCM of 821,941,127,714,598 is 20946231621042.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 821, 941, 127, 714, 598

1. What is the LCM of 821, 941, 127, 714, 598?

Answer: LCM of 821, 941, 127, 714, 598 is 20946231621042.

2. How to calculate the LCM of 821, 941, 127, 714, 598?

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 821, 941, 127, 714, 598.

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}.