What is the LCM of 9 and 360 - Find out answer step by step

What is LCM?

In mathematics, least common multiple, which is ordinarily reffered to as LCM is characterized as the smallest non-zero number which is divisible by both given numbers 9 and 360.

Properties of LCM

The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(9, 360) = LCM(360, 9).
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 9 and 360 is 360, where 360 is greater than 9 and 360.

Steps to find lcm of 9 and 360 by Listing Method

Find some first multiples of 9 and 360.
Find the least common multiple, and read off the answer!

Example: Find lcm of 9 and 360 by Listing Method

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 279, 288, 297, 306, 315, 324, 333, 342, 351, 360, 369, 378, 387, 396, 405, 414, 423, 432, 441, 450, 459, 468, 477, 486, 495, 504, 513, 522, 531, 540, 549, 558, 567, 576, 585, 594, 603, 612, 621, 630, 639, 648, 657, 666, 675, 684, 693, 702, 711, 720, 729, 738, 747, 756, 765, 774, 783, 792, 801, 810, 819, 828, 837, 846, 855, 864, 873, 882, 891, 900, 909, 918, 927, 936, 945, 954, 963, 972, 981, 990, 999, 1008, 1017, 1026, 1035, 1044, 1053, 1062, 1071, 1080, 1089, 1098, 1107, 1116, 1125, 1134, 1143, 1152, 1161, 1170, 1179, 1188, 1197, 1206, 1215, 1224, 1233, 1242, 1251, 1260, 1269, 1278, 1287, 1296, 1305, 1314, 1323, 1332, 1341, 1350, 1359, 1368, 1377, 1386, 1395, 1404, 1413, 1422, 1431, 1440, 1449, 1458, 1467, 1476, 1485, 1494, 1503, 1512, 1521, 1530, 1539, 1548, 1557, 1566, 1575, 1584, 1593, 1602, 1611, 1620, 1629, 1638, 1647, 1656, 1665, 1674, 1683, 1692, 1701, 1710, 1719, 1728, 1737, 1746, 1755, 1764, 1773, 1782, 1791, 1800, 1809, 1818, 1827, 1836, 1845, 1854, 1863, 1872, 1881, 1890, 1899, 1908, 1917, 1926, 1935, 1944, 1953, 1962, 1971, 1980, 1989, 1998, 2007, 2016, 2025, 2034, 2043, 2052, 2061, 2070, 2079, 2088, 2097, 2106, 2115, 2124, 2133, 2142, 2151, 2160, 2169, 2178, 2187, 2196, 2205, 2214, 2223, 2232, 2241, 2250, 2259, 2268, 2277, 2286, 2295, 2304, 2313, 2322, 2331, 2340, 2349, 2358, 2367, 2376, 2385, 2394, 2403, 2412, 2421, 2430, 2439, 2448, 2457, 2466, 2475, 2484, 2493, 2502, 2511, 2520, 2529, 2538, 2547, 2556, 2565, 2574, 2583, 2592, 2601, 2610, 2619, 2628, 2637, 2646, 2655, 2664, 2673, 2682, 2691, 2700, 2709, 2718, 2727, 2736, 2745, 2754, 2763, 2772, 2781, 2790, 2799, 2808, 2817, 2826, 2835, 2844, 2853, 2862, 2871, 2880, 2889, 2898, 2907, 2916, 2925, 2934, 2943, 2952, 2961, 2970, 2979, 2988, 2997, 3006, 3015, 3024, 3033, 3042, 3051, 3060, 3069, 3078, 3087, 3096, 3105, 3114, 3123, 3132, 3141, 3150, 3159, 3168, 3177, 3186, 3195, 3204, 3213, 3222, 3231, 3240
Multiples of 360: 360, 720, 1080, 1440, 1800, 2160, 2520, 2880, 3240

Hence, LCM of 9 and 360 is 360.

Steps to find LCM of 9 and 360 by Common Division Method

Find all the prime numbers that would divide 9 and 360 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 9 and 360 by Common Division Method

2	9 360
2	9 180
2	9 90
3	9 45
3	3 15
5	1 5
	1 1

Hence, LCM of 9 and 360 is 2 x 2 x 2 x 3 x 3 x 5 = 360.

Steps to find lcm of 9 and 360 by Formula

The formula for LCM is LCM (9, 360) = (9 x 360) / GCF (9, 360)
Apply the formula, and read off the answer!

Example: Find lcm of 9 and 360 by Formula

GCF of 9 and 360 = 9
LCM of 9 and 360 = (9 x 360) / 9
=> 3240 / 9

Hence, LCM of 9 and 360 is 360.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 9 and 360 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 9 and 360 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 9 and 360.
So, LCM of 9 and 360 is 360.

A shopkeeper sells candies in packet of 9 and chocolates in packet of 360. 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 9 and 360.
So, LCM of 9 and 360 is 360.

Boxes that are 9 inches tall are being pilled next to boxes that are 360 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 9 and 360.
So, LCM of 9 and 360 is 360.

Sammy's company prints 9 textbooks at a time. Daniel's company prints textbooks in sets of 360 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 9 and 360.
So, LCM of 9 and 360 is 360.

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

Greatest common factors or gcf of 9 and 360 is GCF(9, 360) * LCM(9, 360) = (9 x 360) / GCF(9, 360) = 360.

Find the least number which is exactly divisible by 9 and 360.

Least number which is exactly divisible by 9 and 360 is 360.

Find the LCM of 9 and 360 using GCF method.

Greatest common factor or gcf of 9 and 360 is GCF(9, 360) x LCM(9, 360) = (9 x 360) / GCF(9, 360) = 360.

What is LCM of 9 and 360?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 9 and 360 by Listing Method

Example: Find lcm of 9 and 360 by Listing Method

Steps to find LCM of 9 and 360 by Common Division Method

Example: Find lcm of 9 and 360 by Common Division Method

Steps to find lcm of 9 and 360 by Formula

Example: Find lcm of 9 and 360 by Formula

Examples

What is LCM of 9 and 360?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 9 and 360 by Listing Method

Example: Find lcm of 9 and 360 by Listing Method

Steps to find LCM of 9 and 360 by Common Division Method

Example: Find lcm of 9 and 360 by Common Division Method

Steps to find lcm of 9 and 360 by Formula

Example: Find lcm of 9 and 360 by Formula

Examples

Recommended

User Also Visited