LCM of 760, 140, 851, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 140, 851, 644 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 760, 140, 851, 644. So, keep reading to learn more.
Given numbers are 760,140,851,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,140,851,644 is 4527320.
Find LCM of 760,140,851,644 with Prime Factorization
| 2 | 760, 140, 851, 644 |
| 2 | 380, 70, 851, 322 |
| 5 | 190, 35, 851, 161 |
| 7 | 38, 7, 851, 161 |
| 23 | 38, 1, 851, 23 |
| 38, 1, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 23 x 38 x 1 x 37 x 1 = 4527320
Therefore, the lowest common multiple of 760,140,851,644 is 4527320.
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.
760 x 140 x 851 x 644 = 58311881600
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
851 : 1, 23, 37, 851
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,140,851,644, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
140:2x 2x 5x 7
851:23x 37
644:2x 2x 7x 23
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 7x 23 = 12880
Therefore, the value for common factors is 12880.
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 = 58311881600/(1x12880)
LCM = 58311881600/12880
LCM = 4527320
Thus, we can understand that the LCM of 760,140,851,644 is 4527320.
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FAQs on LCM of 760, 140, 851, 644
1. What is the LCM of 760, 140, 851, 644?
Answer: LCM of 760, 140, 851, 644 is 4527320.
2. How to calculate the LCM of 760, 140, 851, 644?
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 760, 140, 851, 644.
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}.