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LCM of 234, 462, 154, 334

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


Find the LCM of 234, 462, 154, 334 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 234, 462, 154, 334. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,462,154,334

Given numbers are 234,462,154,334

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

The LCM of 234,462,154,334 is 3009006.

Find LCM of 234,462,154,334 with Prime Factorization


2 234, 462, 154, 334
3 117, 231, 77, 167
7 39, 77, 77, 167
11 39, 11, 11, 167
39, 1, 1, 167

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

2 x 3 x 7 x 11 x 39 x 1 x 1 x 167 = 3009006

Therefore, the lowest common multiple of 234,462,154,334 is 3009006.

LCM Formula to Find Lowest Common Multiple of 234,462,154,334

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.

234 x 462 x 154 x 334 = 5560643088

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

154 : 1, 2, 7, 11, 14, 22, 77, 154

334 : 1, 2, 167, 334

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,462,154,334, is 2.

Now, the common factors can be found like this.

234:2x 3x 3x 13

462:2x 3x 7x 11

154:2x 7x 11

334:2x 167

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 3x 7x 11 = 924

Therefore, the value for common factors is 924.

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 = 5560643088/(2x924)

LCM = 5560643088/1848

LCM = 3009006

Thus, we can understand that the LCM of 234,462,154,334 is 3009006.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 462, 154, 334

1. What is the LCM of 234, 462, 154, 334?

Answer: LCM of 234, 462, 154, 334 is 3009006.

2. How to calculate the LCM of 234, 462, 154, 334?

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 234, 462, 154, 334.

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}.