LCM of 785, 224, 565, 304, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 224, 565, 304, 969 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 785, 224, 565, 304, 969. So, keep reading to learn more.
Given numbers are 785,224,565,304,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,224,565,304,969 is 19253952480.
Find LCM of 785,224,565,304,969 with Prime Factorization
| 2 | 785, 224, 565, 304, 969 |
| 2 | 785, 112, 565, 152, 969 |
| 2 | 785, 56, 565, 76, 969 |
| 2 | 785, 28, 565, 38, 969 |
| 5 | 785, 14, 565, 19, 969 |
| 19 | 157, 14, 113, 19, 969 |
| 157, 14, 113, 1, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 19 x 157 x 14 x 113 x 1 x 51 = 19253952480
Therefore, the lowest common multiple of 785,224,565,304,969 is 19253952480.
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.
785 x 224 x 565 x 304 x 969 = 29266007769600
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.
785 : 1, 5, 157, 785
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
565 : 1, 5, 113, 565
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,224,565,304,969, is 1.
Now, the common factors can be found like this.
785:5x 157
224:2x 2x 2x 2x 2x 7
565:5x 113
304:2x 2x 2x 2x 19
969:3x 17x 19
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 19 = 1520
Therefore, the value for common factors is 1520.
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 = 29266007769600/(1x1520)
LCM = 29266007769600/1520
LCM = 19253952480
Thus, we can understand that the LCM of 785,224,565,304,969 is 19253952480.
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FAQs on LCM of 785, 224, 565, 304, 969
1. What is the LCM of 785, 224, 565, 304, 969?
Answer: LCM of 785, 224, 565, 304, 969 is 19253952480.
2. How to calculate the LCM of 785, 224, 565, 304, 969?
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 785, 224, 565, 304, 969.
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}.