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LCM of 917, 391, 209, 788, 924

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


Find the LCM of 917, 391, 209, 788, 924 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 917, 391, 209, 788, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,391,209,788,924

Given numbers are 917,391,209,788,924

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

The LCM of 917,391,209,788,924 is 177149467572.

Find LCM of 917,391,209,788,924 with Prime Factorization


2 917, 391, 209, 788, 924
2 917, 391, 209, 394, 462
7 917, 391, 209, 197, 231
11 131, 391, 209, 197, 33
131, 391, 19, 197, 3

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

2 x 2 x 7 x 11 x 131 x 391 x 19 x 197 x 3 = 177149467572

Therefore, the lowest common multiple of 917,391,209,788,924 is 177149467572.

LCM Formula to Find Lowest Common Multiple of 917,391,209,788,924

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.

917 x 391 x 209 x 788 x 924 = 54562036012176

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.

917 : 1, 7, 131, 917

391 : 1, 17, 23, 391

209 : 1, 11, 19, 209

788 : 1, 2, 4, 197, 394, 788

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,391,209,788,924, is 1.

Now, the common factors can be found like this.

917:7x 131

391:17x 23

209:11x 19

788:2x 2x 197

924:2x 2x 3x 7x 11

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 7x 11 = 308

Therefore, the value for common factors is 308.

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 = 54562036012176/(1x308)

LCM = 54562036012176/308

LCM = 177149467572

Thus, we can understand that the LCM of 917,391,209,788,924 is 177149467572.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 917, 391, 209, 788, 924

1. What is the LCM of 917, 391, 209, 788, 924?

Answer: LCM of 917, 391, 209, 788, 924 is 177149467572.

2. How to calculate the LCM of 917, 391, 209, 788, 924?

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 917, 391, 209, 788, 924.

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}.