Least Common Multiple of 697/56, 6342/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 697/56, 6342/566 quickly i.e. 2210187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 697/56, 6342/566 is 2210187.

LCM(697/56, 6342/566) = 2210187

LCM of 697/56, 6342/566

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 697/56,6342/566

Given numbers are 697/56,6342/566

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 697,6342

Least Common Multiple of Numerators i.e. LCM of 697,6342 is 4420374.

GCF of Denominators means GCF of 56,566 as per the given fractions.

GCF of 56,566 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 697,6342

LCM of Fractions 697/56,6342/566 is 2210187

Given numbers has no common factors except 1. So, there LCM is their product i.e 4420374

Least Common Multiple of 697,6342 with GCF Formula

Least Common Multiple of 697,6342 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 697,6342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,6342) = 1

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

GCF(697,6342) x common factors =1 x 1 = 1

LCM(697,6342) = ( 697 × 6342 ) / 1

LCM(697,6342) = 4420374 / 1

LCM(697,6342) = 4420374


Lets's calculate GCF of 56,566

2 56, 566
28, 283

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4420374/2

Therefore the LCM of Fractions 697/56,6342/566 is 2210187

Greatest Common Factor of 56,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,566 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 56,566 . The biggest common factor number is the GCF number.
So the greatest common factor 56,566 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 697/56, 6342/566

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 697/56, 6342/566?

Answer: LCM of Numerators as per given numbers 697/56, 6342/566 is

LCM of Numerators i.e. for 697,6342 is 4420374

GCF of denominators i.e. for 56,566 is 2.

Thus, LCM of Fractions is 2210187.Finally, LCM of Fractions for 697/56, 6342/566 is 2210187.