Least Common Multiple of 3187/562, 9508/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3187/562, 9508/348 quickly i.e. 15150998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3187/562, 9508/348 is 15150998.

LCM(3187/562, 9508/348) = 15150998

LCM of 3187/562, 9508/348

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 3187/562,9508/348

Given numbers are 3187/562,9508/348

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 3187,9508

Least Common Multiple of Numerators i.e. LCM of 3187,9508 is 30301996.

GCF of Denominators means GCF of 562,348 as per the given fractions.

GCF of 562,348 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3187,9508

LCM of Fractions 3187/562,9508/348 is 15150998

Given numbers has no common factors except 1. So, there LCM is their product i.e 30301996

Least Common Multiple of 3187,9508 with GCF Formula

Least Common Multiple of 3187,9508 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 3187,9508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3187,9508) = 1

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

GCF(3187,9508) x common factors =1 x 1 = 1

LCM(3187,9508) = ( 3187 × 9508 ) / 1

LCM(3187,9508) = 30301996 / 1

LCM(3187,9508) = 30301996


Lets's calculate GCF of 562,348

2 562, 348
281, 174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30301996/2

Therefore the LCM of Fractions 3187/562,9508/348 is 15150998

Greatest Common Factor of 562,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,348 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 562,348 . The biggest common factor number is the GCF number.
So the greatest common factor 562,348 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3187/562, 9508/348

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 3187/562, 9508/348?

Answer: LCM of Numerators as per given numbers 3187/562, 9508/348 is

LCM of Numerators i.e. for 3187,9508 is 30301996

GCF of denominators i.e. for 562,348 is 2.

Thus, LCM of Fractions is 15150998.Finally, LCM of Fractions for 3187/562, 9508/348 is 15150998.