Least Common Multiple of 697/140, 4534/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 697/140, 4534/679 quickly i.e. 3160198/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 697/140, 4534/679 is 3160198/7.

LCM(697/140, 4534/679) = 3160198/7

LCM of 697/140, 4534/679

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 697/140,4534/679

Given numbers are 697/140,4534/679

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 697,4534

Least Common Multiple of Numerators i.e. LCM of 697,4534 is 3160198.

GCF of Denominators means GCF of 140,679 as per the given fractions.

GCF of 140,679 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 697,4534

LCM of Fractions 697/140,4534/679 is 3160198/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 3160198

Least Common Multiple of 697,4534 with GCF Formula

Least Common Multiple of 697,4534 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 697,4534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,4534) = 1

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

GCF(697,4534) x common factors =1 x 1 = 1

LCM(697,4534) = ( 697 × 4534 ) / 1

LCM(697,4534) = 3160198 / 1

LCM(697,4534) = 3160198


Lets's calculate GCF of 140,679

7 140, 679
20, 97

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3160198/7

Therefore the LCM of Fractions 697/140,4534/679 is 3160198/7

Greatest Common Factor of 140,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,679 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 140,679 . The biggest common factor number is the GCF number.
So the greatest common factor 140,679 is 7.


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Frequently Asked Questions on Fractional LCM of 697/140, 4534/679

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 697/140, 4534/679?

Answer: LCM of Numerators as per given numbers 697/140, 4534/679 is

LCM of Numerators i.e. for 697,4534 is 3160198

GCF of denominators i.e. for 140,679 is 7.

Thus, LCM of Fractions is 3160198/7.Finally, LCM of Fractions for 697/140, 4534/679 is 3160198/7.