LCM of 743, 972, 210, 780, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 743, 972, 210, 780, 657 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 743, 972, 210, 780, 657. So, keep reading to learn more.
Given numbers are 743,972,210,780,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,972,210,780,657 is 23987740140.
Find LCM of 743,972,210,780,657 with Prime Factorization
| 2 | 743, 972, 210, 780, 657 |
| 2 | 743, 486, 105, 390, 657 |
| 3 | 743, 243, 105, 195, 657 |
| 3 | 743, 81, 35, 65, 219 |
| 5 | 743, 27, 35, 65, 73 |
| 743, 27, 7, 13, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 743 x 27 x 7 x 13 x 73 = 23987740140
Therefore, the lowest common multiple of 743,972,210,780,657 is 23987740140.
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.
743 x 972 x 210 x 780 x 657 = 77720278053600
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.
743 : 1, 743
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,972,210,780,657, is 1.
Now, the common factors can be found like this.
743:743
972:2x 2x 3x 3x 3x 3x 3
210:2x 3x 5x 7
780:2x 2x 3x 5x 13
657:3x 3x 73
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 3x 3x 3x 3x 5 = 3240
Therefore, the value for common factors is 3240.
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 = 77720278053600/(1x3240)
LCM = 77720278053600/3240
LCM = 23987740140
Thus, we can understand that the LCM of 743,972,210,780,657 is 23987740140.
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FAQs on LCM of 743, 972, 210, 780, 657
1. What is the LCM of 743, 972, 210, 780, 657?
Answer: LCM of 743, 972, 210, 780, 657 is 23987740140.
2. How to calculate the LCM of 743, 972, 210, 780, 657?
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 743, 972, 210, 780, 657.
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}.