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LCM of 356, 970, 703, 142, 821

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


Find the LCM of 356, 970, 703, 142, 821 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 356, 970, 703, 142, 821. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 356,970,703,142,821

Given numbers are 356,970,703,142,821

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

The LCM of 356,970,703,142,821 is 7075360414180.

Find LCM of 356,970,703,142,821 with Prime Factorization


2 356, 970, 703, 142, 821
178, 485, 703, 71, 821

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

2 x 178 x 485 x 703 x 71 x 821 = 7075360414180

Therefore, the lowest common multiple of 356,970,703,142,821 is 7075360414180.

LCM Formula to Find Lowest Common Multiple of 356,970,703,142,821

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.

356 x 970 x 703 x 142 x 821 = 28301441656720

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.

356 : 1, 2, 4, 89, 178, 356

970 : 1, 2, 5, 10, 97, 194, 485, 970

703 : 1, 19, 37, 703

142 : 1, 2, 71, 142

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,970,703,142,821, is 1.

Now, the common factors can be found like this.

356:2x 2x 89

970:2x 5x 97

703:19x 37

142:2x 71

821:821

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 28301441656720/(1x4)

LCM = 28301441656720/4

LCM = 7075360414180

Thus, we can understand that the LCM of 356,970,703,142,821 is 7075360414180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 356, 970, 703, 142, 821

1. What is the LCM of 356, 970, 703, 142, 821?

Answer: LCM of 356, 970, 703, 142, 821 is 7075360414180.

2. How to calculate the LCM of 356, 970, 703, 142, 821?

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 356, 970, 703, 142, 821.

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}.