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LCM of 461, 989, 516, 139, 473

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


Find the LCM of 461, 989, 516, 139, 473 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 461, 989, 516, 139, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 461,989,516,139,473

Given numbers are 461,989,516,139,473

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

The LCM of 461,989,516,139,473 is 8365385292.

Find LCM of 461,989,516,139,473 with Prime Factorization


43 461, 989, 516, 139, 473
461, 23, 12, 139, 11

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

43 x 461 x 23 x 12 x 139 x 11 = 8365385292

Therefore, the lowest common multiple of 461,989,516,139,473 is 8365385292.

LCM Formula to Find Lowest Common Multiple of 461,989,516,139,473

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.

461 x 989 x 516 x 139 x 473 = 15467597404908

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.

461 : 1, 461

989 : 1, 23, 43, 989

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

139 : 1, 139

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,989,516,139,473, is 1.

Now, the common factors can be found like this.

461:461

989:23x 43

516:2x 2x 3x 43

139:139

473:11x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

43x 43 = 1849

Therefore, the value for common factors is 1849.

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 = 15467597404908/(1x1849)

LCM = 15467597404908/1849

LCM = 8365385292

Thus, we can understand that the LCM of 461,989,516,139,473 is 8365385292.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 461, 989, 516, 139, 473

1. What is the LCM of 461, 989, 516, 139, 473?

Answer: LCM of 461, 989, 516, 139, 473 is 8365385292.

2. How to calculate the LCM of 461, 989, 516, 139, 473?

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 461, 989, 516, 139, 473.

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}.