What is the LCM of 17 and 289 - Find out answer step by step

How do we define LCM?

LCM, abbreviation for least common multiple, is defined as the smallest number that is the product of two or more numbers 17 and 289

Properties of LCM

The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(17, 289) = LCM(289, 17).
LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
The LCM of two given numbers is always greater than the given numbers numbers. Eg- LCM of 17 and 289 is 289, where 289 is greater than 17 and 289.

Steps to find lcm of 17 and 289 by Listing Method

Find some first multiples of 17 and 289.
Find the least common multiple, and read off the answer!

Example: Find lcm of 17 and 289 by Listing Method

Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442, 459, 476, 493, 510, 527, 544, 561, 578, 595, 612, 629, 646, 663, 680, 697, 714, 731, 748, 765, 782, 799, 816, 833, 850, 867, 884, 901, 918, 935, 952, 969, 986, 1003, 1020, 1037, 1054, 1071, 1088, 1105, 1122, 1139, 1156, 1173, 1190, 1207, 1224, 1241, 1258, 1275, 1292, 1309, 1326, 1343, 1360, 1377, 1394, 1411, 1428, 1445, 1462, 1479, 1496, 1513, 1530, 1547, 1564, 1581, 1598, 1615, 1632, 1649, 1666, 1683, 1700, 1717, 1734, 1751, 1768, 1785, 1802, 1819, 1836, 1853, 1870, 1887, 1904, 1921, 1938, 1955, 1972, 1989, 2006, 2023, 2040, 2057, 2074, 2091, 2108, 2125, 2142, 2159, 2176, 2193, 2210, 2227, 2244, 2261, 2278, 2295, 2312, 2329, 2346, 2363, 2380, 2397, 2414, 2431, 2448, 2465, 2482, 2499, 2516, 2533, 2550, 2567, 2584, 2601, 2618, 2635, 2652, 2669, 2686, 2703, 2720, 2737, 2754, 2771, 2788, 2805, 2822, 2839, 2856, 2873, 2890, 2907, 2924, 2941, 2958, 2975, 2992, 3009, 3026, 3043, 3060, 3077, 3094, 3111, 3128, 3145, 3162, 3179, 3196, 3213, 3230, 3247, 3264, 3281, 3298, 3315, 3332, 3349, 3366, 3383, 3400, 3417, 3434, 3451, 3468, 3485, 3502, 3519, 3536, 3553, 3570, 3587, 3604, 3621, 3638, 3655, 3672, 3689, 3706, 3723, 3740, 3757, 3774, 3791, 3808, 3825, 3842, 3859, 3876, 3893, 3910, 3927, 3944, 3961, 3978, 3995, 4012, 4029, 4046, 4063, 4080, 4097, 4114, 4131, 4148, 4165, 4182, 4199, 4216, 4233, 4250, 4267, 4284, 4301, 4318, 4335, 4352, 4369, 4386, 4403, 4420, 4437, 4454, 4471, 4488, 4505, 4522, 4539, 4556, 4573, 4590, 4607, 4624, 4641, 4658, 4675, 4692, 4709, 4726, 4743, 4760, 4777, 4794, 4811, 4828, 4845, 4862, 4879, 4896, 4913
Multiples of 289: 289, 578, 867, 1156, 1445, 1734, 2023, 2312, 2601, 2890, 3179, 3468, 3757, 4046, 4335, 4624, 4913

Hence, LCM of 17 and 289 is 289.

Steps to find LCM of 17 and 289 by Common Division Method

Find all the prime numbers that would divide 17 and 289 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 17 and 289 by Common Division Method

17	17 289
17	1 17
	1 1

Hence, LCM of 17 and 289 is 17 x 17 = 289.

Steps to find lcm of 17 and 289 by Formula

The formula for LCM is LCM (17, 289) = (17 x 289) / GCF (17, 289)
Apply the formula, and read off the answer!

Example: Find lcm of 17 and 289 by Formula

GCF of 17 and 289 = 17
LCM of 17 and 289 = (17 x 289) / 17
=> 4913 / 17

Hence, LCM of 17 and 289 is 289.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 17 and 289 minutes respectively to go round once. Find at what time they will run together?

Franky and Joy are running on a circular track. They take 17 and 289 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 17 and 289.
So, LCM of 17 and 289 is 289.

A shopkeeper sells candies in packet of 17 and chocolates in packet of 289. What is the least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate?

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 17 and 289.
So, LCM of 17 and 289 is 289.

Boxes that are 17 inches tall are being pilled next to boxes that are 289 inches tall. What is the least height in feet at which the two piles will be the same height?

To find the least height in feet at which the two piles will be at same height we will find LCM of 17 and 289.
So, LCM of 17 and 289 is 289.

Sammy's company prints 17 textbooks at a time. Daniel's company prints textbooks in sets of 289 at a time. According to a survey done by a committee, both companies printed the same number of textbooks last year. Find the least number of books that each company would have printed.

To find the least number of textbooks that each company could have printed we need to find the LCM of 17 and 289.
So, LCM of 17 and 289 is 289.

What is the relation between LCM and GCF( Greatest Common Factor)?

Greatest common factors or gcf of 17 and 289 is GCF(17, 289) * LCM(17, 289) = (17 x 289) / GCF(17, 289) = 289.

Find the least number which is exactly divisible by 17 and 289.

Least number which is exactly divisible by 17 and 289 is 289.

Find the LCM of 17 and 289 using GCF method.

Greatest common factor or gcf of 17 and 289 is GCF(17, 289) x LCM(17, 289) = (17 x 289) / GCF(17, 289) = 289.

What is LCM of 17 and 289?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 17 and 289 by Listing Method

Example: Find lcm of 17 and 289 by Listing Method

Steps to find LCM of 17 and 289 by Common Division Method

Example: Find lcm of 17 and 289 by Common Division Method

Steps to find lcm of 17 and 289 by Formula

Example: Find lcm of 17 and 289 by Formula

Examples

What is LCM of 17 and 289?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 17 and 289 by Listing Method

Example: Find lcm of 17 and 289 by Listing Method

Steps to find LCM of 17 and 289 by Common Division Method

Example: Find lcm of 17 and 289 by Common Division Method

Steps to find lcm of 17 and 289 by Formula

Example: Find lcm of 17 and 289 by Formula

Examples

Recommended

User Also Visited