Least Common Multiple of 1157/808, 5740/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1157/808, 5740/340 quickly i.e. 1660295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1157/808, 5740/340 is 1660295.

LCM(1157/808, 5740/340) = 1660295

LCM of 1157/808, 5740/340

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 1157/808,5740/340

Given numbers are 1157/808,5740/340

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 1157,5740

Least Common Multiple of Numerators i.e. LCM of 1157,5740 is 6641180.

GCF of Denominators means GCF of 808,340 as per the given fractions.

GCF of 808,340 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1157,5740

LCM of Fractions 1157/808,5740/340 is 1660295

Given numbers has no common factors except 1. So, there LCM is their product i.e 6641180

Least Common Multiple of 1157,5740 with GCF Formula

Least Common Multiple of 1157,5740 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 1157,5740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1157,5740) = 1

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

GCF(1157,5740) x common factors =1 x 1 = 1

LCM(1157,5740) = ( 1157 × 5740 ) / 1

LCM(1157,5740) = 6641180 / 1

LCM(1157,5740) = 6641180


Lets's calculate GCF of 808,340

2 808, 340
2 404, 170
202, 85

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6641180/4

Therefore the LCM of Fractions 1157/808,5740/340 is 1660295

Greatest Common Factor of 808,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,340 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 808,340 . The biggest common factor number is the GCF number.
So the greatest common factor 808,340 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1157/808, 5740/340

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 1157/808, 5740/340?

Answer: LCM of Numerators as per given numbers 1157/808, 5740/340 is

LCM of Numerators i.e. for 1157,5740 is 6641180

GCF of denominators i.e. for 808,340 is 4.

Thus, LCM of Fractions is 1660295.Finally, LCM of Fractions for 1157/808, 5740/340 is 1660295.