LCM of 770, 742, 924, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 742, 924, 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 770, 742, 924, 969. So, keep reading to learn more.
Given numbers are 770,742,924,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,742,924,969 is 79089780.
Find LCM of 770,742,924,969 with Prime Factorization
| 2 | 770, 742, 924, 969 |
| 3 | 385, 371, 462, 969 |
| 7 | 385, 371, 154, 323 |
| 11 | 55, 53, 22, 323 |
| 5, 53, 2, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 5 x 53 x 2 x 323 = 79089780
Therefore, the lowest common multiple of 770,742,924,969 is 79089780.
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.
770 x 742 x 924 x 969 = 511552697040
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
742 : 1, 2, 7, 14, 53, 106, 371, 742
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
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 770,742,924,969, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
742:2x 7x 53
924:2x 2x 3x 7x 11
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 3x 7x 7x 11 = 6468
Therefore, the value for common factors is 6468.
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 = 511552697040/(1x6468)
LCM = 511552697040/6468
LCM = 79089780
Thus, we can understand that the LCM of 770,742,924,969 is 79089780.
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FAQs on LCM of 770, 742, 924, 969
1. What is the LCM of 770, 742, 924, 969?
Answer: LCM of 770, 742, 924, 969 is 79089780.
2. How to calculate the LCM of 770, 742, 924, 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 770, 742, 924, 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}.