LCM of 748, 234, 669, 980, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 234, 669, 980, 637 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 748, 234, 669, 980, 637. So, keep reading to learn more.
Given numbers are 748,234,669,980,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,234,669,980,637 is 4781436660.
Find LCM of 748,234,669,980,637 with Prime Factorization
| 2 | 748, 234, 669, 980, 637 |
| 2 | 374, 117, 669, 490, 637 |
| 3 | 187, 117, 669, 245, 637 |
| 7 | 187, 39, 223, 245, 637 |
| 7 | 187, 39, 223, 35, 91 |
| 13 | 187, 39, 223, 5, 13 |
| 187, 3, 223, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 13 x 187 x 3 x 223 x 5 x 1 = 4781436660
Therefore, the lowest common multiple of 748,234,669,980,637 is 4781436660.
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.
748 x 234 x 669 x 980 x 637 = 73098603658080
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
669 : 1, 3, 223, 669
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,234,669,980,637, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
234:2x 3x 3x 13
669:3x 223
980:2x 2x 5x 7x 7
637:7x 7x 13
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 7x 7x 13 = 15288
Therefore, the value for common factors is 15288.
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 = 73098603658080/(1x15288)
LCM = 73098603658080/15288
LCM = 4781436660
Thus, we can understand that the LCM of 748,234,669,980,637 is 4781436660.
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FAQs on LCM of 748, 234, 669, 980, 637
1. What is the LCM of 748, 234, 669, 980, 637?
Answer: LCM of 748, 234, 669, 980, 637 is 4781436660.
2. How to calculate the LCM of 748, 234, 669, 980, 637?
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 748, 234, 669, 980, 637.
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}.