LCM of 700, 321, 874, 196, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 700, 321, 874, 196, 796 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, 321, 874, 196, 796. So, keep reading to learn more.
Given numbers are 700,321,874,196,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 700,321,874,196,796 is 136784102700.
Find LCM of 700,321,874,196,796 with Prime Factorization
| 2 | 700, 321, 874, 196, 796 |
| 2 | 350, 321, 437, 98, 398 |
| 7 | 175, 321, 437, 49, 199 |
| 25, 321, 437, 7, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 25 x 321 x 437 x 7 x 199 = 136784102700
Therefore, the lowest common multiple of 700,321,874,196,796 is 136784102700.
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 321 x 874 x 196 x 796 = 30639639004800
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
321 : 1, 3, 107, 321
874 : 1, 2, 19, 23, 38, 46, 437, 874
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,321,874,196,796, is 1.
Now, the common factors can be found like this.
700:2x 2x 5x 5x 7
321:3x 107
874:2x 19x 23
196:2x 2x 7x 7
796:2x 2x 199
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 7 = 224
Therefore, the value for common factors is 224.
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 = 30639639004800/(1x224)
LCM = 30639639004800/224
LCM = 136784102700
Thus, we can understand that the LCM of 700,321,874,196,796 is 136784102700.
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FAQs on LCM of 700, 321, 874, 196, 796
1. What is the LCM of 700, 321, 874, 196, 796?
Answer: LCM of 700, 321, 874, 196, 796 is 136784102700.
2. How to calculate the LCM of 700, 321, 874, 196, 796?
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, 321, 874, 196, 796.
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}.