Least Common Multiple of 6910/276, 3658/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6910/276, 3658/544 quickly i.e. 12638390/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6910/276, 3658/544 is 12638390/4.

LCM(6910/276, 3658/544) = 12638390/4

LCM of 6910/276, 3658/544

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 6910/276,3658/544

Given numbers are 6910/276,3658/544

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 6910,3658

Least Common Multiple of Numerators i.e. LCM of 6910,3658 is 12638390.

GCF of Denominators means GCF of 276,544 as per the given fractions.

GCF of 276,544 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6910,3658

LCM of Fractions 6910/276,3658/544 is 12638390/4

2 6910, 3658
3455, 1829

∴ So the LCM of the given numbers is 2 x 3455 x 1829 = 12638390

Least Common Multiple of 6910,3658 with GCF Formula

Least Common Multiple of 6910,3658 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 6910,3658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6910,3658) = 2

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

GCF(6910,3658) x common factors =2 x 1 = 2

LCM(6910,3658) = ( 6910 × 3658 ) / 2

LCM(6910,3658) = 25276780 / 2

LCM(6910,3658) = 12638390


Lets's calculate GCF of 276,544

2 276, 544
2 138, 272
69, 136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12638390/4

Therefore the LCM of Fractions 6910/276,3658/544 is 12638390/4

Greatest Common Factor of 276,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,544 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 276,544 . The biggest common factor number is the GCF number.
So the greatest common factor 276,544 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 6910/276, 3658/544

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 6910/276, 3658/544?

Answer: LCM of Numerators as per given numbers 6910/276, 3658/544 is

LCM of Numerators i.e. for 6910,3658 is 12638390

GCF of denominators i.e. for 276,544 is 4.

Thus, LCM of Fractions is 12638390/4.Finally, LCM of Fractions for 6910/276, 3658/544 is 12638390/4.