Least Common Multiple of 5709/668, 8501/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5709/668, 8501/356 quickly i.e. 48532209/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5709/668, 8501/356 is 48532209/4.

LCM(5709/668, 8501/356) = 48532209/4

LCM of 5709/668, 8501/356

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 5709/668,8501/356

Given numbers are 5709/668,8501/356

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 5709,8501

Least Common Multiple of Numerators i.e. LCM of 5709,8501 is 48532209.

GCF of Denominators means GCF of 668,356 as per the given fractions.

GCF of 668,356 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5709,8501

LCM of Fractions 5709/668,8501/356 is 48532209/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 48532209

Least Common Multiple of 5709,8501 with GCF Formula

Least Common Multiple of 5709,8501 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 5709,8501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5709,8501) = 1

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

GCF(5709,8501) x common factors =1 x 1 = 1

LCM(5709,8501) = ( 5709 × 8501 ) / 1

LCM(5709,8501) = 48532209 / 1

LCM(5709,8501) = 48532209


Lets's calculate GCF of 668,356

2 668, 356
2 334, 178
167, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48532209/4

Therefore the LCM of Fractions 5709/668,8501/356 is 48532209/4

Greatest Common Factor of 668,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,356 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 668,356 . The biggest common factor number is the GCF number.
So the greatest common factor 668,356 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 5709/668, 8501/356

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 5709/668, 8501/356?

Answer: LCM of Numerators as per given numbers 5709/668, 8501/356 is

LCM of Numerators i.e. for 5709,8501 is 48532209

GCF of denominators i.e. for 668,356 is 4.

Thus, LCM of Fractions is 48532209/4.Finally, LCM of Fractions for 5709/668, 8501/356 is 48532209/4.