Least Common Multiple of 6165/276, 9280/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6165/276, 9280/268 quickly i.e. 2860560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6165/276, 9280/268 is 2860560.

LCM(6165/276, 9280/268) = 2860560

LCM of 6165/276, 9280/268

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 6165/276,9280/268

Given numbers are 6165/276,9280/268

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 6165,9280

Least Common Multiple of Numerators i.e. LCM of 6165,9280 is 11442240.

GCF of Denominators means GCF of 276,268 as per the given fractions.

GCF of 276,268 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6165,9280

LCM of Fractions 6165/276,9280/268 is 2860560

5 6165, 9280
1233, 1856

∴ So the LCM of the given numbers is 5 x 1233 x 1856 = 11442240

Least Common Multiple of 6165,9280 with GCF Formula

Least Common Multiple of 6165,9280 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 6165,9280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6165,9280) = 5

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

GCF(6165,9280) x common factors =5 x 1 = 5

LCM(6165,9280) = ( 6165 × 9280 ) / 5

LCM(6165,9280) = 57211200 / 5

LCM(6165,9280) = 11442240


Lets's calculate GCF of 276,268

2 276, 268
2 138, 134
69, 67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11442240/4

Therefore the LCM of Fractions 6165/276,9280/268 is 2860560

Greatest Common Factor of 276,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,268 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 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 276,268 . The biggest common factor number is the GCF number.
So the greatest common factor 276,268 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 6165/276, 9280/268

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 6165/276, 9280/268?

Answer: LCM of Numerators as per given numbers 6165/276, 9280/268 is

LCM of Numerators i.e. for 6165,9280 is 11442240

GCF of denominators i.e. for 276,268 is 4.

Thus, LCM of Fractions is 2860560.Finally, LCM of Fractions for 6165/276, 9280/268 is 2860560.