What is the LCM of 273 and 7 - Find out answer step by step

What does LCM mean in mathematics?

The least common multiple or LCM of two numbers 273 and 7 is defined as the smallest positive integer which is divisible by both of them. It is represented by LCM(273, 7).

Properties of LCM

The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(273, 7) = LCM(7, 273).
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 273 and 7 is 273, where 273 is greater than 273 and 7.

Steps to find lcm of 273 and 7 by Listing Method

Find some first multiples of 273 and 7.
Find the least common multiple, and read off the answer!

Example: Find lcm of 273 and 7 by Listing Method

Multiples of 273: 273, 546, 819, 1092, 1365, 1638, 1911
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357, 364, 371, 378, 385, 392, 399, 406, 413, 420, 427, 434, 441, 448, 455, 462, 469, 476, 483, 490, 497, 504, 511, 518, 525, 532, 539, 546, 553, 560, 567, 574, 581, 588, 595, 602, 609, 616, 623, 630, 637, 644, 651, 658, 665, 672, 679, 686, 693, 700, 707, 714, 721, 728, 735, 742, 749, 756, 763, 770, 777, 784, 791, 798, 805, 812, 819, 826, 833, 840, 847, 854, 861, 868, 875, 882, 889, 896, 903, 910, 917, 924, 931, 938, 945, 952, 959, 966, 973, 980, 987, 994, 1001, 1008, 1015, 1022, 1029, 1036, 1043, 1050, 1057, 1064, 1071, 1078, 1085, 1092, 1099, 1106, 1113, 1120, 1127, 1134, 1141, 1148, 1155, 1162, 1169, 1176, 1183, 1190, 1197, 1204, 1211, 1218, 1225, 1232, 1239, 1246, 1253, 1260, 1267, 1274, 1281, 1288, 1295, 1302, 1309, 1316, 1323, 1330, 1337, 1344, 1351, 1358, 1365, 1372, 1379, 1386, 1393, 1400, 1407, 1414, 1421, 1428, 1435, 1442, 1449, 1456, 1463, 1470, 1477, 1484, 1491, 1498, 1505, 1512, 1519, 1526, 1533, 1540, 1547, 1554, 1561, 1568, 1575, 1582, 1589, 1596, 1603, 1610, 1617, 1624, 1631, 1638, 1645, 1652, 1659, 1666, 1673, 1680, 1687, 1694, 1701, 1708, 1715, 1722, 1729, 1736, 1743, 1750, 1757, 1764, 1771, 1778, 1785, 1792, 1799, 1806, 1813, 1820, 1827, 1834, 1841, 1848, 1855, 1862, 1869, 1876, 1883, 1890, 1897, 1904, 1911

Hence, LCM of 273 and 7 is 273.

Steps to find LCM of 273 and 7 by Common Division Method

Find all the prime numbers that would divide 273 and 7 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 273 and 7 by Common Division Method

3	273 7
7	91 7
13	13 1
	1 1

Hence, LCM of 273 and 7 is 3 x 7 x 13 = 273.

Steps to find lcm of 273 and 7 by Formula

The formula for LCM is LCM (273, 7) = (273 x 7) / GCF (273, 7)
Apply the formula, and read off the answer!

Example: Find lcm of 273 and 7 by Formula

GCF of 273 and 7 = 7
LCM of 273 and 7 = (273 x 7) / 7
=> 1911 / 7

Hence, LCM of 273 and 7 is 273.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 273 and 7 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 273 and 7 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 273 and 7.
So, LCM of 273 and 7 is 273.

A shopkeeper sells candies in packet of 273 and chocolates in packet of 7. 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 273 and 7.
So, LCM of 273 and 7 is 273.

Boxes that are 273 inches tall are being pilled next to boxes that are 7 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 273 and 7.
So, LCM of 273 and 7 is 273.

Sammy's company prints 273 textbooks at a time. Daniel's company prints textbooks in sets of 7 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 273 and 7.
So, LCM of 273 and 7 is 273.

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

Greatest common factors or gcf of 273 and 7 is GCF(273, 7) * LCM(273, 7) = (273 x 7) / GCF(273, 7) = 273.

Find the least number which is exactly divisible by 273 and 7.

Least number which is exactly divisible by 273 and 7 is 273.

Find the LCM of 273 and 7 using GCF method.

Greatest common factor or gcf of 273 and 7 is GCF(273, 7) x LCM(273, 7) = (273 x 7) / GCF(273, 7) = 273.

What is LCM of 273 and 7?

How to find lcm of two numbers

What does LCM mean in mathematics?

Properties of LCM

Steps to find lcm of 273 and 7 by Listing Method

Example: Find lcm of 273 and 7 by Listing Method

Steps to find LCM of 273 and 7 by Common Division Method

Example: Find lcm of 273 and 7 by Common Division Method

Steps to find lcm of 273 and 7 by Formula

Example: Find lcm of 273 and 7 by Formula

Examples

What is LCM of 273 and 7?

How to find lcm of two numbers

What does LCM mean in mathematics?

Properties of LCM

Steps to find lcm of 273 and 7 by Listing Method

Example: Find lcm of 273 and 7 by Listing Method

Steps to find LCM of 273 and 7 by Common Division Method

Example: Find lcm of 273 and 7 by Common Division Method

Steps to find lcm of 273 and 7 by Formula

Example: Find lcm of 273 and 7 by Formula

Examples

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