LCM of 48 and 42 is 336

The least common multiple or LCM of two numbers 48 and 42 is defined as the smallest positive integer which is divisible by both of them. It is represented by LCM(48, 42).

- The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 48 and 42 is 336, where 48 and 42 are less than 336.
- LCM is associative which means LCM(48, 42) = LCM(42, 48).
- 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 or more prime numbers is their product.

- Find some first multiples of 48 and 42.
- Find the least common multiple, and read off the answer!

- Multiples of
**48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, 1296, 1344, 1392, 1440, 1488, 1536, 1584, 1632, 1680, 1728, 1776, 1824, 1872, 1920, 1968, 2016** - Multiples of
**42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756, 798, 840, 882, 924, 966, 1008, 1050, 1092, 1134, 1176, 1218, 1260, 1302, 1344, 1386, 1428, 1470, 1512, 1554, 1596, 1638, 1680, 1722, 1764, 1806, 1848, 1890, 1932, 1974, 2016**

Hence, LCM of
*48* and *42* is **336**.

- Find all the prime numbers that would divide 48 and 42 without leaving any remainder.
- Multiply the numbers obtained in step 1, and read off the answer!

2 | 48 42 |

2 | 24 21 |

2 | 12 21 |

2 | 6 21 |

3 | 3 21 |

7 | 1 7 |

1 1 |

Hence, LCM of
*48* and *42* is **2 x 2 x 2 x 2 x 3 x 7 = 336**.

- The formula for LCM is LCM (48, 42) = (48 x 42) / GCF (48, 42)
- Apply the formula, and read off the answer!

- GCF of
**48 and 42 = 6** - LCM of
**48 and 42 = (48 x 42) / 6** **=> 2016 / 6**

Hence, LCM of
*48* and *42* is **336**.

Franky and Joy are running on a circular track. They take 48 and 42 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 48 and 42.

So, LCM of 48 and 42 is 336.

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 48 and 42.

So, LCM of 48 and 42 is 336.

Given that the cricket team plays every 48 days and the basketball team plays every 42 days, so for finding the next time when both teams will play again we need to find the LCM of 48 and 42.

So, LCM of 48 and 42 is 336.

To find the least number of textbooks that each company could have printed we need to find the LCM of 48 and 42.

So, LCM of 48 and 42 is 336.

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.

So, LCM of 48 and 42 is 336.

Greatest common factors or gcf of 48 and 42 is GCF(48, 42) * LCM(48, 42) = (48 x 42) / GCF(48, 42) = 336.

Least number which is exactly divisible by 48 and 42 is 336.