Given numbers are 278,121,417,767

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 278,121,417,767 is 77401038.

Find LCM of 278,121,417,767 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

139 x 2 x 121 x 3 x 767 = 77401038

Therefore, the lowest common multiple of 278,121,417,767 is 77401038.

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.

278 x 121 x 417 x 767 = 10758744282

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.

278 : 1, 2, 139, 278

121 : 1, 11, 121

417 : 1, 3, 139, 417

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,121,417,767, is 1.

Now, the common factors can be found like this.

278:2x 139

121:11x 11

417:3x 139

767:13x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

139 = 139

Therefore, the value for common factors is 139.

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 = 10758744282/(1x139)

LCM = 10758744282/139

LCM = 77401038

Thus, we can understand that the LCM of 278,121,417,767 is 77401038.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 878, 898, 889, 930
• LCM of 785, 488, 963, 991
• LCM of 866, 446, 856, 777
• LCM of 164, 237, 860, 855
• LCM of 241, 895, 268, 524

1. What is the LCM of 278, 121, 417, 767?

Answer: LCM of 278, 121, 417, 767 is 77401038.

2. How to calculate the LCM of 278, 121, 417, 767?

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 278, 121, 417, 767.

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}.