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LCM of 942, 143, 829, 767, 208

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


Find the LCM of 942, 143, 829, 767, 208 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 942, 143, 829, 767, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 942,143,829,767,208

Given numbers are 942,143,829,767,208

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

The LCM of 942,143,829,767,208 is 52708841328.

Find LCM of 942,143,829,767,208 with Prime Factorization


2 942, 143, 829, 767, 208
13 471, 143, 829, 767, 104
471, 11, 829, 59, 8

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

2 x 13 x 471 x 11 x 829 x 59 x 8 = 52708841328

Therefore, the lowest common multiple of 942,143,829,767,208 is 52708841328.

LCM Formula to Find Lowest Common Multiple of 942,143,829,767,208

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.

942 x 143 x 829 x 767 x 208 = 17815588368864

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.

942 : 1, 2, 3, 6, 157, 314, 471, 942

143 : 1, 11, 13, 143

829 : 1, 829

767 : 1, 13, 59, 767

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,143,829,767,208, is 1.

Now, the common factors can be found like this.

942:2x 3x 157

143:11x 13

829:829

767:13x 59

208:2x 2x 2x 2x 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 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 17815588368864/(1x338)

LCM = 17815588368864/338

LCM = 52708841328

Thus, we can understand that the LCM of 942,143,829,767,208 is 52708841328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 942, 143, 829, 767, 208

1. What is the LCM of 942, 143, 829, 767, 208?

Answer: LCM of 942, 143, 829, 767, 208 is 52708841328.

2. How to calculate the LCM of 942, 143, 829, 767, 208?

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 942, 143, 829, 767, 208.

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}.