LCM of 700, 430, 551, 735, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 700, 430, 551, 735, 946 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 700, 430, 551, 735, 946. So, keep reading to learn more.
Given numbers are 700,430,551,735,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 700,430,551,735,946 is 3831158100.
Find LCM of 700,430,551,735,946 with Prime Factorization
| 2 | 700, 430, 551, 735, 946 |
| 5 | 350, 215, 551, 735, 473 |
| 7 | 70, 43, 551, 147, 473 |
| 43 | 10, 43, 551, 21, 473 |
| 10, 1, 551, 21, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 43 x 10 x 1 x 551 x 21 x 11 = 3831158100
Therefore, the lowest common multiple of 700,430,551,735,946 is 3831158100.
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.
700 x 430 x 551 x 735 x 946 = 115317858810000
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.
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
430 : 1, 2, 5, 10, 43, 86, 215, 430
551 : 1, 19, 29, 551
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,430,551,735,946, is 1.
Now, the common factors can be found like this.
700:2x 2x 5x 5x 7
430:2x 5x 43
551:19x 29
735:3x 5x 7x 7
946:2x 11x 43
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 5x 5x 7x 43 = 30100
Therefore, the value for common factors is 30100.
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 = 115317858810000/(1x30100)
LCM = 115317858810000/30100
LCM = 3831158100
Thus, we can understand that the LCM of 700,430,551,735,946 is 3831158100.
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FAQs on LCM of 700, 430, 551, 735, 946
1. What is the LCM of 700, 430, 551, 735, 946?
Answer: LCM of 700, 430, 551, 735, 946 is 3831158100.
2. How to calculate the LCM of 700, 430, 551, 735, 946?
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 700, 430, 551, 735, 946.
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}.