LCM of 761, 705, 880, 100, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 761, 705, 880, 100, 768 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 761, 705, 880, 100, 768. So, keep reading to learn more.
Given numbers are 761,705,880,100,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 761,705,880,100,768 is 7553990400.
Find LCM of 761,705,880,100,768 with Prime Factorization
| 2 | 761, 705, 880, 100, 768 |
| 2 | 761, 705, 440, 50, 384 |
| 2 | 761, 705, 220, 25, 192 |
| 2 | 761, 705, 110, 25, 96 |
| 3 | 761, 705, 55, 25, 48 |
| 5 | 761, 235, 55, 25, 16 |
| 761, 47, 11, 5, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 761 x 47 x 11 x 5 x 16 = 7553990400
Therefore, the lowest common multiple of 761,705,880,100,768 is 7553990400.
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.
761 x 705 x 880 x 100 x 768 = 36259153920000
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.
761 : 1, 761
705 : 1, 3, 5, 15, 47, 141, 235, 705
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,705,880,100,768, is 1.
Now, the common factors can be found like this.
761:761
705:3x 5x 47
880:2x 2x 2x 2x 5x 11
100:2x 2x 5x 5
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 2x 2x 3x 5x 5 = 4800
Therefore, the value for common factors is 4800.
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 = 36259153920000/(1x4800)
LCM = 36259153920000/4800
LCM = 7553990400
Thus, we can understand that the LCM of 761,705,880,100,768 is 7553990400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 761, 705, 880, 100, 768
1. What is the LCM of 761, 705, 880, 100, 768?
Answer: LCM of 761, 705, 880, 100, 768 is 7553990400.
2. How to calculate the LCM of 761, 705, 880, 100, 768?
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 761, 705, 880, 100, 768.
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}.