LCM of 456, 894, 672, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 894, 672, 764 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 456, 894, 672, 764. So, keep reading to learn more.
Given numbers are 456,894,672,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,894,672,764 is 363364512.
Find LCM of 456,894,672,764 with Prime Factorization
| 2 | 456, 894, 672, 764 |
| 2 | 228, 447, 336, 382 |
| 2 | 114, 447, 168, 191 |
| 3 | 57, 447, 84, 191 |
| 19, 149, 28, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 149 x 28 x 191 = 363364512
Therefore, the lowest common multiple of 456,894,672,764 is 363364512.
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.
456 x 894 x 672 x 764 = 209297958912
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
894 : 1, 2, 3, 6, 149, 298, 447, 894
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
764 : 1, 2, 4, 191, 382, 764
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,894,672,764, is 2.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
894:2x 3x 149
672:2x 2x 2x 2x 2x 3x 7
764:2x 2x 191
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 3 = 288
Therefore, the value for common factors is 288.
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 = 209297958912/(2x288)
LCM = 209297958912/576
LCM = 363364512
Thus, we can understand that the LCM of 456,894,672,764 is 363364512.
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FAQs on LCM of 456, 894, 672, 764
1. What is the LCM of 456, 894, 672, 764?
Answer: LCM of 456, 894, 672, 764 is 363364512.
2. How to calculate the LCM of 456, 894, 672, 764?
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 456, 894, 672, 764.
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}.