Least Common Multiple of 37/554, 8732/1386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/554, 8732/1386 quickly i.e. 4366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/554, 8732/1386 is 4366.

LCM(37/554, 8732/1386) = 4366

LCM of 37/554, 8732/1386

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 37/554,8732/1386

Given numbers are 37/554,8732/1386

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 37,8732

Least Common Multiple of Numerators i.e. LCM of 37,8732 is 8732.

GCF of Denominators means GCF of 554,1386 as per the given fractions.

GCF of 554,1386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,8732

LCM of Fractions 37/554,8732/1386 is 4366

37 37, 8732
1, 236

∴ So the LCM of the given numbers is 37 x 1 x 236 = 8732

Least Common Multiple of 37,8732 with GCF Formula

Least Common Multiple of 37,8732 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 37,8732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,8732) = 37

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

GCF(37,8732) x common factors =37 x 1 = 37

LCM(37,8732) = ( 37 × 8732 ) / 37

LCM(37,8732) = 323084 / 37

LCM(37,8732) = 8732


Lets's calculate GCF of 554,1386

2 554, 1386
277, 693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8732/2

Therefore the LCM of Fractions 37/554,8732/1386 is 4366

Greatest Common Factor of 554,1386 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,1386 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 1386

List of positive integer factors of 1386 that divides 1386 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,126,154,198,231,462,693,1386

Greatest Common Factor

We found the factors 554,1386 . The biggest common factor number is the GCF number.
So the greatest common factor 554,1386 is 2.


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Frequently Asked Questions on Fractional LCM of 37/554, 8732/1386

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 37/554, 8732/1386?

Answer: LCM of Numerators as per given numbers 37/554, 8732/1386 is

LCM of Numerators i.e. for 37,8732 is 8732

GCF of denominators i.e. for 554,1386 is 2.

Thus, LCM of Fractions is 4366.Finally, LCM of Fractions for 37/554, 8732/1386 is 4366.