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LCM of 306, 152, 769, 646

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


Find the LCM of 306, 152, 769, 646 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 306, 152, 769, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 306,152,769,646

Given numbers are 306,152,769,646

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

The LCM of 306,152,769,646 is 17883864.

Find LCM of 306,152,769,646 with Prime Factorization


2 306, 152, 769, 646
17 153, 76, 769, 323
19 9, 76, 769, 19
9, 4, 769, 1

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

2 x 17 x 19 x 9 x 4 x 769 x 1 = 17883864

Therefore, the lowest common multiple of 306,152,769,646 is 17883864.

LCM Formula to Find Lowest Common Multiple of 306,152,769,646

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.

306 x 152 x 769 x 646 = 23105952288

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

152 : 1, 2, 4, 8, 19, 38, 76, 152

769 : 1, 769

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,152,769,646, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

152:2x 2x 2x 19

769:769

646:2x 17x 19

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 17x 19 = 1292

Therefore, the value for common factors is 1292.

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 = 23105952288/(1x1292)

LCM = 23105952288/1292

LCM = 17883864

Thus, we can understand that the LCM of 306,152,769,646 is 17883864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 306, 152, 769, 646

1. What is the LCM of 306, 152, 769, 646?

Answer: LCM of 306, 152, 769, 646 is 17883864.

2. How to calculate the LCM of 306, 152, 769, 646?

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 306, 152, 769, 646.

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}.