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LCM of 955, 576, 148, 935, 624

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


Find the LCM of 955, 576, 148, 935, 624 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 955, 576, 148, 935, 624. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 955,576,148,935,624

Given numbers are 955,576,148,935,624

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

The LCM of 955,576,148,935,624 is 49478045760.

Find LCM of 955,576,148,935,624 with Prime Factorization


2 955, 576, 148, 935, 624
2 955, 288, 74, 935, 312
2 955, 144, 37, 935, 156
2 955, 72, 37, 935, 78
3 955, 36, 37, 935, 39
5 955, 12, 37, 935, 13
191, 12, 37, 187, 13

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

2 x 2 x 2 x 2 x 3 x 5 x 191 x 12 x 37 x 187 x 13 = 49478045760

Therefore, the lowest common multiple of 955,576,148,935,624 is 49478045760.

LCM Formula to Find Lowest Common Multiple of 955,576,148,935,624

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.

955 x 576 x 148 x 935 x 624 = 47498923929600

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.

955 : 1, 5, 191, 955

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

148 : 1, 2, 4, 37, 74, 148

935 : 1, 5, 11, 17, 55, 85, 187, 935

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,576,148,935,624, is 1.

Now, the common factors can be found like this.

955:5x 191

576:2x 2x 2x 2x 2x 2x 3x 3

148:2x 2x 37

935:5x 11x 17

624:2x 2x 2x 2x 3x 13

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 2x 2x 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 47498923929600/(1x960)

LCM = 47498923929600/960

LCM = 49478045760

Thus, we can understand that the LCM of 955,576,148,935,624 is 49478045760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 955, 576, 148, 935, 624

1. What is the LCM of 955, 576, 148, 935, 624?

Answer: LCM of 955, 576, 148, 935, 624 is 49478045760.

2. How to calculate the LCM of 955, 576, 148, 935, 624?

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 955, 576, 148, 935, 624.

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}.