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LCM of 946, 220, 780, 702

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


Find the LCM of 946, 220, 780, 702 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 946, 220, 780, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,220,780,702

Given numbers are 946,220,780,702

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

The LCM of 946,220,780,702 is 3320460.

Find LCM of 946,220,780,702 with Prime Factorization


2 946, 220, 780, 702
2 473, 110, 390, 351
3 473, 55, 195, 351
5 473, 55, 65, 117
11 473, 11, 13, 117
13 43, 1, 13, 117
43, 1, 1, 9

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

2 x 2 x 3 x 5 x 11 x 13 x 43 x 1 x 1 x 9 = 3320460

Therefore, the lowest common multiple of 946,220,780,702 is 3320460.

LCM Formula to Find Lowest Common Multiple of 946,220,780,702

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.

946 x 220 x 780 x 702 = 113958187200

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,220,780,702, is 2.

Now, the common factors can be found like this.

946:2x 11x 43

220:2x 2x 5x 11

780:2x 2x 3x 5x 13

702:2x 3x 3x 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 3x 5x 11x 13 = 17160

Therefore, the value for common factors is 17160.

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 = 113958187200/(2x17160)

LCM = 113958187200/34320

LCM = 3320460

Thus, we can understand that the LCM of 946,220,780,702 is 3320460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 220, 780, 702

1. What is the LCM of 946, 220, 780, 702?

Answer: LCM of 946, 220, 780, 702 is 3320460.

2. How to calculate the LCM of 946, 220, 780, 702?

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 946, 220, 780, 702.

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}.