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LCM of 923, 667, 334, 142

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


Find the LCM of 923, 667, 334, 142 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 923, 667, 334, 142. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 923,667,334,142

Given numbers are 923,667,334,142

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

The LCM of 923,667,334,142 is 205624094.

Find LCM of 923,667,334,142 with Prime Factorization


2 923, 667, 334, 142
71 923, 667, 167, 71
13, 667, 167, 1

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

2 x 71 x 13 x 667 x 167 x 1 = 205624094

Therefore, the lowest common multiple of 923,667,334,142 is 205624094.

LCM Formula to Find Lowest Common Multiple of 923,667,334,142

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.

923 x 667 x 334 x 142 = 29198621348

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.

923 : 1, 13, 71, 923

667 : 1, 23, 29, 667

334 : 1, 2, 167, 334

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,667,334,142, is 1.

Now, the common factors can be found like this.

923:13x 71

667:23x 29

334:2x 167

142:2x 71

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 29198621348/(1x142)

LCM = 29198621348/142

LCM = 205624094

Thus, we can understand that the LCM of 923,667,334,142 is 205624094.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 923, 667, 334, 142

1. What is the LCM of 923, 667, 334, 142?

Answer: LCM of 923, 667, 334, 142 is 205624094.

2. How to calculate the LCM of 923, 667, 334, 142?

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 923, 667, 334, 142.

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}.