Least Common Multiple of 688/54, 549/9410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/54, 549/9410 quickly i.e. 188856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/54, 549/9410 is 188856.

LCM(688/54, 549/9410) = 188856

LCM of 688/54, 549/9410

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 688/54,549/9410

Given numbers are 688/54,549/9410

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 688,549

Least Common Multiple of Numerators i.e. LCM of 688,549 is 377712.

GCF of Denominators means GCF of 54,9410 as per the given fractions.

GCF of 54,9410 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,549

LCM of Fractions 688/54,549/9410 is 188856

Given numbers has no common factors except 1. So, there LCM is their product i.e 377712

Least Common Multiple of 688,549 with GCF Formula

Least Common Multiple of 688,549 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 688,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,549) = 1

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

GCF(688,549) x common factors =1 x 1 = 1

LCM(688,549) = ( 688 × 549 ) / 1

LCM(688,549) = 377712 / 1

LCM(688,549) = 377712


Lets's calculate GCF of 54,9410

2 54, 9410
27, 4705

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377712/2

Therefore the LCM of Fractions 688/54,549/9410 is 188856

Greatest Common Factor of 54,9410 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,9410 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 9410

List of positive integer factors of 9410 that divides 9410 without a remainder.

1,2,5,10,941,1882,4705,9410

Greatest Common Factor

We found the factors 54,9410 . The biggest common factor number is the GCF number.
So the greatest common factor 54,9410 is 2.


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 688/54, 549/9410

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 688/54, 549/9410?

Answer: LCM of Numerators as per given numbers 688/54, 549/9410 is

LCM of Numerators i.e. for 688,549 is 377712

GCF of denominators i.e. for 54,9410 is 2.

Thus, LCM of Fractions is 188856.Finally, LCM of Fractions for 688/54, 549/9410 is 188856.