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LCM of 948, 606, 262, 523, 153

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


Find the LCM of 948, 606, 262, 523, 153 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 948, 606, 262, 523, 153. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 948,606,262,523,153

Given numbers are 948,606,262,523,153

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

The LCM of 948,606,262,523,153 is 334559118924.

Find LCM of 948,606,262,523,153 with Prime Factorization


2 948, 606, 262, 523, 153
3 474, 303, 131, 523, 153
158, 101, 131, 523, 51

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

2 x 3 x 158 x 101 x 131 x 523 x 51 = 334559118924

Therefore, the lowest common multiple of 948,606,262,523,153 is 334559118924.

LCM Formula to Find Lowest Common Multiple of 948,606,262,523,153

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.

948 x 606 x 262 x 523 x 153 = 12044128281264

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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

262 : 1, 2, 131, 262

523 : 1, 523

153 : 1, 3, 9, 17, 51, 153

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,606,262,523,153, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

606:2x 3x 101

262:2x 131

523:523

153:3x 3x 17

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 3 = 36

Therefore, the value for common factors is 36.

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 = 12044128281264/(1x36)

LCM = 12044128281264/36

LCM = 334559118924

Thus, we can understand that the LCM of 948,606,262,523,153 is 334559118924.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 948, 606, 262, 523, 153

1. What is the LCM of 948, 606, 262, 523, 153?

Answer: LCM of 948, 606, 262, 523, 153 is 334559118924.

2. How to calculate the LCM of 948, 606, 262, 523, 153?

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 948, 606, 262, 523, 153.

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}.