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LCM of 976, 341, 985, 549, 533

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


Find the LCM of 976, 341, 985, 549, 533 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 976, 341, 985, 549, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 976,341,985,549,533

Given numbers are 976,341,985,549,533

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

The LCM of 976,341,985,549,533 is 1572570576720.

Find LCM of 976,341,985,549,533 with Prime Factorization


61 976, 341, 985, 549, 533
16, 341, 985, 9, 533

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

61 x 16 x 341 x 985 x 9 x 533 = 1572570576720

Therefore, the lowest common multiple of 976,341,985,549,533 is 1572570576720.

LCM Formula to Find Lowest Common Multiple of 976,341,985,549,533

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.

976 x 341 x 985 x 549 x 533 = 95926805179920

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

341 : 1, 11, 31, 341

985 : 1, 5, 197, 985

549 : 1, 3, 9, 61, 183, 549

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,341,985,549,533, is 1.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

341:11x 31

985:5x 197

549:3x 3x 61

533:13x 41

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

61 = 61

Therefore, the value for common factors is 61.

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 = 95926805179920/(1x61)

LCM = 95926805179920/61

LCM = 1572570576720

Thus, we can understand that the LCM of 976,341,985,549,533 is 1572570576720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 976, 341, 985, 549, 533

1. What is the LCM of 976, 341, 985, 549, 533?

Answer: LCM of 976, 341, 985, 549, 533 is 1572570576720.

2. How to calculate the LCM of 976, 341, 985, 549, 533?

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 976, 341, 985, 549, 533.

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}.