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LCM of 606, 342, 953, 350, 942

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


Find the LCM of 606, 342, 953, 350, 942 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 606, 342, 953, 350, 942. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 606,342,953,350,942

Given numbers are 606,342,953,350,942

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

The LCM of 606,342,953,350,942 is 904436501850.

Find LCM of 606,342,953,350,942 with Prime Factorization


2 606, 342, 953, 350, 942
3 303, 171, 953, 175, 471
101, 57, 953, 175, 157

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

2 x 3 x 101 x 57 x 953 x 175 x 157 = 904436501850

Therefore, the lowest common multiple of 606,342,953,350,942 is 904436501850.

LCM Formula to Find Lowest Common Multiple of 606,342,953,350,942

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.

606 x 342 x 953 x 350 x 942 = 65119428133200

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.

606 : 1, 2, 3, 6, 101, 202, 303, 606

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

953 : 1, 953

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,342,953,350,942, is 1.

Now, the common factors can be found like this.

606:2x 3x 101

342:2x 3x 3x 19

953:953

350:2x 5x 5x 7

942:2x 3x 157

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 65119428133200/(1x72)

LCM = 65119428133200/72

LCM = 904436501850

Thus, we can understand that the LCM of 606,342,953,350,942 is 904436501850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 606, 342, 953, 350, 942

1. What is the LCM of 606, 342, 953, 350, 942?

Answer: LCM of 606, 342, 953, 350, 942 is 904436501850.

2. How to calculate the LCM of 606, 342, 953, 350, 942?

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 606, 342, 953, 350, 942.

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}.