Least Common Multiple of 67/697, 33/545, 248/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 67/697, 33/545, 248/917 quickly i.e. 548328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/697, 33/545, 248/917 is 548328.

LCM(67/697, 33/545, 248/917) = 548328

LCM of 67/697, 33/545, 248/917

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 67/697,33/545,248/917

Given numbers are 67/697,33/545,248/917

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 67,33,248

Least Common Multiple of Numerators i.e. LCM of 67,33,248 is 548328.

GCF of Denominators means GCF of 697,545,917 as per the given fractions.

GCF of 697,545,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,33,248

LCM of Fractions 67/697,33/545,248/917 is 548328

Given numbers has no common factors except 1. So, there LCM is their product i.e 548328

Least Common Multiple of 67,33,248 with GCF Formula

Least Common Multiple of 67,33,248 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 67,33,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,33,248) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(67,33,248) x common factors =1 x 1 = 1

LCM(67,33,248) = ( 67 × 33 × 248 ) / 1

LCM(67,33,248) = 548328 / 1

LCM(67,33,248) = 548328


Lets's calculate GCF of 697,545,917

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 548328/1

Therefore the LCM of Fractions 67/697,33/545,248/917 is 548328

Greatest Common Factor of 697,545,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,545,917 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 697,545,917 . The biggest common factor number is the GCF number.
So the greatest common factor 697,545,917 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 67/697, 33/545, 248/917

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 67/697, 33/545, 248/917?

Answer: LCM of Numerators as per given numbers 67/697, 33/545, 248/917 is

LCM of Numerators i.e. for 67,33,248 is 548328

GCF of denominators i.e. for 697,545,917 is 1.

Thus, LCM of Fractions is 548328.Finally, LCM of Fractions for 67/697, 33/545, 248/917 is 548328.