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LCM of 102, 478, 412, 956, 690

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


Find the LCM of 102, 478, 412, 956, 690 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 102, 478, 412, 956, 690. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 102,478,412,956,690

Given numbers are 102,478,412,956,690

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

The LCM of 102,478,412,956,690 is 577514820.

Find LCM of 102,478,412,956,690 with Prime Factorization


2 102, 478, 412, 956, 690
2 51, 239, 206, 478, 345
3 51, 239, 103, 239, 345
239 17, 239, 103, 239, 115
17, 1, 103, 1, 115

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

2 x 2 x 3 x 239 x 17 x 1 x 103 x 1 x 115 = 577514820

Therefore, the lowest common multiple of 102,478,412,956,690 is 577514820.

LCM Formula to Find Lowest Common Multiple of 102,478,412,956,690

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.

102 x 478 x 412 x 956 x 690 = 13250500030080

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

478 : 1, 2, 239, 478

412 : 1, 2, 4, 103, 206, 412

956 : 1, 2, 4, 239, 478, 956

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,478,412,956,690, is 2.

Now, the common factors can be found like this.

102:2x 3x 17

478:2x 239

412:2x 2x 103

956:2x 2x 239

690:2x 3x 5x 23

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 3x 239 = 11472

Therefore, the value for common factors is 11472.

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 = 13250500030080/(2x11472)

LCM = 13250500030080/22944

LCM = 577514820

Thus, we can understand that the LCM of 102,478,412,956,690 is 577514820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 102, 478, 412, 956, 690

1. What is the LCM of 102, 478, 412, 956, 690?

Answer: LCM of 102, 478, 412, 956, 690 is 577514820.

2. How to calculate the LCM of 102, 478, 412, 956, 690?

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 102, 478, 412, 956, 690.

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}.