LCM of 746, 507, 598, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 507, 598, 924 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 746, 507, 598, 924. So, keep reading to learn more.
Given numbers are 746,507,598,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,507,598,924 is 1339662324.
Find LCM of 746,507,598,924 with Prime Factorization
| 2 | 746, 507, 598, 924 |
| 3 | 373, 507, 299, 462 |
| 13 | 373, 169, 299, 154 |
| 373, 13, 23, 154 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 373 x 13 x 23 x 154 = 1339662324
Therefore, the lowest common multiple of 746,507,598,924 is 1339662324.
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.
746 x 507 x 598 x 924 = 208987322544
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.
746 : 1, 2, 373, 746
507 : 1, 3, 13, 39, 169, 507
598 : 1, 2, 13, 23, 26, 46, 299, 598
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,507,598,924, is 1.
Now, the common factors can be found like this.
746:2x 373
507:3x 13x 13
598:2x 13x 23
924:2x 2x 3x 7x 11
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 13 = 156
Therefore, the value for common factors is 156.
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 = 208987322544/(1x156)
LCM = 208987322544/156
LCM = 1339662324
Thus, we can understand that the LCM of 746,507,598,924 is 1339662324.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 746, 507, 598, 924
1. What is the LCM of 746, 507, 598, 924?
Answer: LCM of 746, 507, 598, 924 is 1339662324.
2. How to calculate the LCM of 746, 507, 598, 924?
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 746, 507, 598, 924.
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}.