LCM of 657, 700, 744, 430, 124
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 657, 700, 744, 430, 124 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 657, 700, 744, 430, 124. So, keep reading to learn more.
Given numbers are 657,700,744,430,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,700,744,430,124 is 1226093400.
Find LCM of 657,700,744,430,124 with Prime Factorization
| 2 | 657, 700, 744, 430, 124 |
| 2 | 657, 350, 372, 215, 62 |
| 3 | 657, 175, 186, 215, 31 |
| 5 | 219, 175, 62, 215, 31 |
| 31 | 219, 35, 62, 43, 31 |
| 219, 35, 2, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 219 x 35 x 2 x 43 x 1 = 1226093400
Therefore, the lowest common multiple of 657,700,744,430,124 is 1226093400.
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.
657 x 700 x 744 x 430 x 124 = 18244269792000
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.
657 : 1, 3, 9, 73, 219, 657
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
430 : 1, 2, 5, 10, 43, 86, 215, 430
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,700,744,430,124, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
700:2x 2x 5x 5x 7
744:2x 2x 2x 3x 31
430:2x 5x 43
124:2x 2x 31
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 3x 5x 31 = 14880
Therefore, the value for common factors is 14880.
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 = 18244269792000/(1x14880)
LCM = 18244269792000/14880
LCM = 1226093400
Thus, we can understand that the LCM of 657,700,744,430,124 is 1226093400.
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FAQs on LCM of 657, 700, 744, 430, 124
1. What is the LCM of 657, 700, 744, 430, 124?
Answer: LCM of 657, 700, 744, 430, 124 is 1226093400.
2. How to calculate the LCM of 657, 700, 744, 430, 124?
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 657, 700, 744, 430, 124.
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}.