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LCM of 901, 298, 969, 336

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


Find the LCM of 901, 298, 969, 336 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 901, 298, 969, 336. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,298,969,336

Given numbers are 901,298,969,336

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

The LCM of 901,298,969,336 is 857045616.

Find LCM of 901,298,969,336 with Prime Factorization


2 901, 298, 969, 336
3 901, 149, 969, 168
17 901, 149, 323, 56
53, 149, 19, 56

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

2 x 3 x 17 x 53 x 149 x 19 x 56 = 857045616

Therefore, the lowest common multiple of 901,298,969,336 is 857045616.

LCM Formula to Find Lowest Common Multiple of 901,298,969,336

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.

901 x 298 x 969 x 336 = 87418652832

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.

901 : 1, 17, 53, 901

298 : 1, 2, 149, 298

969 : 1, 3, 17, 19, 51, 57, 323, 969

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,298,969,336, is 1.

Now, the common factors can be found like this.

901:17x 53

298:2x 149

969:3x 17x 19

336:2x 2x 2x 2x 3x 7

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

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 87418652832/(1x102)

LCM = 87418652832/102

LCM = 857045616

Thus, we can understand that the LCM of 901,298,969,336 is 857045616.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 298, 969, 336

1. What is the LCM of 901, 298, 969, 336?

Answer: LCM of 901, 298, 969, 336 is 857045616.

2. How to calculate the LCM of 901, 298, 969, 336?

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 901, 298, 969, 336.

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}.