LCM of 785, 748, 598, 276, 590
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 748, 598, 276, 590 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 785, 748, 598, 276, 590. So, keep reading to learn more.
Given numbers are 785,748,598,276,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,748,598,276,590 is 31075327140.
Find LCM of 785,748,598,276,590 with Prime Factorization
| 2 | 785, 748, 598, 276, 590 |
| 2 | 785, 374, 299, 138, 295 |
| 5 | 785, 187, 299, 69, 295 |
| 23 | 157, 187, 299, 69, 59 |
| 157, 187, 13, 3, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 157 x 187 x 13 x 3 x 59 = 31075327140
Therefore, the lowest common multiple of 785,748,598,276,590 is 31075327140.
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.
785 x 748 x 598 x 276 x 590 = 57178601937600
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.
785 : 1, 5, 157, 785
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
598 : 1, 2, 13, 23, 26, 46, 299, 598
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,748,598,276,590, is 1.
Now, the common factors can be found like this.
785:5x 157
748:2x 2x 11x 17
598:2x 13x 23
276:2x 2x 3x 23
590:2x 5x 59
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 5x 23 = 1840
Therefore, the value for common factors is 1840.
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 = 57178601937600/(1x1840)
LCM = 57178601937600/1840
LCM = 31075327140
Thus, we can understand that the LCM of 785,748,598,276,590 is 31075327140.
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FAQs on LCM of 785, 748, 598, 276, 590
1. What is the LCM of 785, 748, 598, 276, 590?
Answer: LCM of 785, 748, 598, 276, 590 is 31075327140.
2. How to calculate the LCM of 785, 748, 598, 276, 590?
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 785, 748, 598, 276, 590.
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}.