What is the LCM of 9 and 459 - 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 459.

Properties of LCM

The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(9, 459) = LCM(459, 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 459 is 459, where 459 is greater than 9 and 459.

Steps to find lcm of 9 and 459 by Listing Method

Find some first multiples of 9 and 459.
Find the least common multiple, and read off the answer!

Example: Find lcm of 9 and 459 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, 3249, 3258, 3267, 3276, 3285, 3294, 3303, 3312, 3321, 3330, 3339, 3348, 3357, 3366, 3375, 3384, 3393, 3402, 3411, 3420, 3429, 3438, 3447, 3456, 3465, 3474, 3483, 3492, 3501, 3510, 3519, 3528, 3537, 3546, 3555, 3564, 3573, 3582, 3591, 3600, 3609, 3618, 3627, 3636, 3645, 3654, 3663, 3672, 3681, 3690, 3699, 3708, 3717, 3726, 3735, 3744, 3753, 3762, 3771, 3780, 3789, 3798, 3807, 3816, 3825, 3834, 3843, 3852, 3861, 3870, 3879, 3888, 3897, 3906, 3915, 3924, 3933, 3942, 3951, 3960, 3969, 3978, 3987, 3996, 4005, 4014, 4023, 4032, 4041, 4050, 4059, 4068, 4077, 4086, 4095, 4104, 4113, 4122, 4131
Multiples of 459: 459, 918, 1377, 1836, 2295, 2754, 3213, 3672, 4131

Hence, LCM of 9 and 459 is 459.

Steps to find LCM of 9 and 459 by Common Division Method

Find all the prime numbers that would divide 9 and 459 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 9 and 459 by Common Division Method

3	9 459
3	3 153
3	1 51
17	1 17
	1 1

Hence, LCM of 9 and 459 is 3 x 3 x 3 x 17 = 459.

Steps to find lcm of 9 and 459 by Formula

The formula for LCM is LCM (9, 459) = (9 x 459) / GCF (9, 459)
Apply the formula, and read off the answer!

Example: Find lcm of 9 and 459 by Formula

GCF of 9 and 459 = 9
LCM of 9 and 459 = (9 x 459) / 9
=> 4131 / 9

Hence, LCM of 9 and 459 is 459.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 9 and 459 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 459 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 459.
So, LCM of 9 and 459 is 459.

A shopkeeper sells candies in packet of 9 and chocolates in packet of 459. 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 459.
So, LCM of 9 and 459 is 459.

Boxes that are 9 inches tall are being pilled next to boxes that are 459 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 459.
So, LCM of 9 and 459 is 459.

Sammy's company prints 9 textbooks at a time. Daniel's company prints textbooks in sets of 459 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 459.
So, LCM of 9 and 459 is 459.

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

Greatest common factors or gcf of 9 and 459 is GCF(9, 459) * LCM(9, 459) = (9 x 459) / GCF(9, 459) = 459.

Find the least number which is exactly divisible by 9 and 459.

Least number which is exactly divisible by 9 and 459 is 459.

Find the LCM of 9 and 459 using GCF method.

Greatest common factor or gcf of 9 and 459 is GCF(9, 459) x LCM(9, 459) = (9 x 459) / GCF(9, 459) = 459.

What is LCM of 9 and 459?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 9 and 459 by Listing Method

Example: Find lcm of 9 and 459 by Listing Method

Steps to find LCM of 9 and 459 by Common Division Method

Example: Find lcm of 9 and 459 by Common Division Method

Steps to find lcm of 9 and 459 by Formula

Example: Find lcm of 9 and 459 by Formula

Examples

What is LCM of 9 and 459?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 9 and 459 by Listing Method

Example: Find lcm of 9 and 459 by Listing Method

Steps to find LCM of 9 and 459 by Common Division Method

Example: Find lcm of 9 and 459 by Common Division Method

Steps to find lcm of 9 and 459 by Formula

Example: Find lcm of 9 and 459 by Formula

Examples

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