LCM of 708, 761, 555, 407, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 761, 555, 407, 894 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 708, 761, 555, 407, 894. So, keep reading to learn more.
Given numbers are 708,761,555,407,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,761,555,407,894 is 163368603420.
Find LCM of 708,761,555,407,894 with Prime Factorization
| 2 | 708, 761, 555, 407, 894 |
| 3 | 354, 761, 555, 407, 447 |
| 37 | 118, 761, 185, 407, 149 |
| 118, 761, 5, 11, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 118 x 761 x 5 x 11 x 149 = 163368603420
Therefore, the lowest common multiple of 708,761,555,407,894 is 163368603420.
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.
708 x 761 x 555 x 407 x 894 = 108803489877720
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
761 : 1, 761
555 : 1, 3, 5, 15, 37, 111, 185, 555
407 : 1, 11, 37, 407
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,761,555,407,894, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
761:761
555:3x 5x 37
407:11x 37
894:2x 3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 37 = 666
Therefore, the value for common factors is 666.
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 = 108803489877720/(1x666)
LCM = 108803489877720/666
LCM = 163368603420
Thus, we can understand that the LCM of 708,761,555,407,894 is 163368603420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 708, 761, 555, 407, 894
1. What is the LCM of 708, 761, 555, 407, 894?
Answer: LCM of 708, 761, 555, 407, 894 is 163368603420.
2. How to calculate the LCM of 708, 761, 555, 407, 894?
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 708, 761, 555, 407, 894.
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}.