Least Common Multiple of 347/358, 7568/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 347/358, 7568/506 quickly i.e. 1313048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 347/358, 7568/506 is 1313048.

LCM(347/358, 7568/506) = 1313048

LCM of 347/358, 7568/506

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 347/358,7568/506

Given numbers are 347/358,7568/506

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 347,7568

Least Common Multiple of Numerators i.e. LCM of 347,7568 is 2626096.

GCF of Denominators means GCF of 358,506 as per the given fractions.

GCF of 358,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 347,7568

LCM of Fractions 347/358,7568/506 is 1313048

Given numbers has no common factors except 1. So, there LCM is their product i.e 2626096

Least Common Multiple of 347,7568 with GCF Formula

Least Common Multiple of 347,7568 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 347,7568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,7568) = 1

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

GCF(347,7568) x common factors =1 x 1 = 1

LCM(347,7568) = ( 347 × 7568 ) / 1

LCM(347,7568) = 2626096 / 1

LCM(347,7568) = 2626096


Lets's calculate GCF of 358,506

2 358, 506
179, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2626096/2

Therefore the LCM of Fractions 347/358,7568/506 is 1313048

Greatest Common Factor of 358,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,506 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 358,506 . The biggest common factor number is the GCF number.
So the greatest common factor 358,506 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 347/358, 7568/506

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 347/358, 7568/506?

Answer: LCM of Numerators as per given numbers 347/358, 7568/506 is

LCM of Numerators i.e. for 347,7568 is 2626096

GCF of denominators i.e. for 358,506 is 2.

Thus, LCM of Fractions is 1313048.Finally, LCM of Fractions for 347/358, 7568/506 is 1313048.