Given numbers are 714,572,251,121,770

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

The LCM of 714,572,251,121,770 is 2819036220.

Find LCM of 714,572,251,121,770 with Prime Factorization

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

2 x 7 x 11 x 51 x 26 x 251 x 11 x 5 = 2819036220

Therefore, the lowest common multiple of 714,572,251,121,770 is 2819036220.

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.

714 x 572 x 251 x 121 x 770 = 9550894713360

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

251 : 1, 251

121 : 1, 11, 121

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,572,251,121,770, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

572:2x 2x 11x 13

251:251

121:11x 11

770:2x 5x 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 7x 11x 11 = 3388

Therefore, the value for common factors is 3388.

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 = 9550894713360/(1x3388)

LCM = 9550894713360/3388

LCM = 2819036220

Thus, we can understand that the LCM of 714,572,251,121,770 is 2819036220.

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

• LCM of 181, 761, 898, 749, 669
• LCM of 724, 729, 590, 916, 674
• LCM of 456, 528, 639, 537, 347
• LCM of 926, 110, 771, 767, 818
• LCM of 150, 521, 530, 648, 654

1. What is the LCM of 714, 572, 251, 121, 770?

Answer: LCM of 714, 572, 251, 121, 770 is 2819036220.

2. How to calculate the LCM of 714, 572, 251, 121, 770?

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 714, 572, 251, 121, 770.

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}.