LCM of 572, 844, 156, 761, 719
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 844, 156, 761, 719 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 572, 844, 156, 761, 719. So, keep reading to learn more.
Given numbers are 572,844,156,761,719
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,844,156,761,719 is 198113142084.
Find LCM of 572,844,156,761,719 with Prime Factorization
| 2 | 572, 844, 156, 761, 719 |
| 2 | 286, 422, 78, 761, 719 |
| 13 | 143, 211, 39, 761, 719 |
| 11, 211, 3, 761, 719 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 11 x 211 x 3 x 761 x 719 = 198113142084
Therefore, the lowest common multiple of 572,844,156,761,719 is 198113142084.
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.
572 x 844 x 156 x 761 x 719 = 41207533553472
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
844 : 1, 2, 4, 211, 422, 844
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
761 : 1, 761
719 : 1, 719
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,844,156,761,719, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
844:2x 2x 211
156:2x 2x 3x 13
761:761
719:719
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 2x 13 = 208
Therefore, the value for common factors is 208.
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 = 41207533553472/(1x208)
LCM = 41207533553472/208
LCM = 198113142084
Thus, we can understand that the LCM of 572,844,156,761,719 is 198113142084.
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FAQs on LCM of 572, 844, 156, 761, 719
1. What is the LCM of 572, 844, 156, 761, 719?
Answer: LCM of 572, 844, 156, 761, 719 is 198113142084.
2. How to calculate the LCM of 572, 844, 156, 761, 719?
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 572, 844, 156, 761, 719.
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}.