LCM for 77 and 105
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 77 and 105?
(One thousand, one hundred fifty-five)
Finding LCM for 77 and 105 using GCF's of these numbers
The first method to find LCM for numbers 77 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 77 and 105 is 7, so
LCM = (77 × 105) ÷ 7
LCM = 8085 ÷ 7
LCM = 1155
Finding LCM for 77 and 105 by Listing Multiples
The second method to find LCM for numbers 77 and 105 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 77: 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, 924, 1001, 1078, 1155, 1232, 1309
Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050, 1155, 1260, 1365
So the LCM for 77 and 105 is 1155
Finding LCM for 77 and 105 by Prime Factorization
Another method to find LCM for numbers 77 and 105 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 77: 7, 11 (exponent form: 71, 111)
All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)
71 × 111 × 31 × 51 = 1155
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 77 and 105?
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- Наименьшее общее кратное 77 и 105