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LCM of 102, 950, 418, 770

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


Find the LCM of 102, 950, 418, 770 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, 950, 418, 770. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 102,950,418,770

Given numbers are 102,950,418,770

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

The LCM of 102,950,418,770 is 3730650.

Find LCM of 102,950,418,770 with Prime Factorization


2 102, 950, 418, 770
5 51, 475, 209, 385
11 51, 95, 209, 77
19 51, 95, 19, 7
51, 5, 1, 7

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

2 x 5 x 11 x 19 x 51 x 5 x 1 x 7 = 3730650

Therefore, the lowest common multiple of 102,950,418,770 is 3730650.

LCM Formula to Find Lowest Common Multiple of 102,950,418,770

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 950 x 418 x 770 = 31188234000

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

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

418 : 1, 2, 11, 19, 22, 38, 209, 418

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,950,418,770, is 2.

Now, the common factors can be found like this.

102:2x 3x 17

950:2x 5x 5x 19

418:2x 11x 19

770:2x 5x 7x 11

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 5x 11x 19 = 4180

Therefore, the value for common factors is 4180.

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 = 31188234000/(2x4180)

LCM = 31188234000/8360

LCM = 3730650

Thus, we can understand that the LCM of 102,950,418,770 is 3730650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 102, 950, 418, 770

1. What is the LCM of 102, 950, 418, 770?

Answer: LCM of 102, 950, 418, 770 is 3730650.

2. How to calculate the LCM of 102, 950, 418, 770?

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, 950, 418, 770.

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}.