Least Common Multiple of 5460/287, 7670/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5460/287, 7670/448 quickly i.e. 46020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5460/287, 7670/448 is 46020.

LCM(5460/287, 7670/448) = 46020

LCM of 5460/287, 7670/448

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 5460/287,7670/448

Given numbers are 5460/287,7670/448

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 5460,7670

Least Common Multiple of Numerators i.e. LCM of 5460,7670 is 322140.

GCF of Denominators means GCF of 287,448 as per the given fractions.

GCF of 287,448 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5460,7670

LCM of Fractions 5460/287,7670/448 is 46020

2 5460, 7670
5 2730, 3835
13 546, 767
42, 59

∴ So the LCM of the given numbers is 2 x 5 x 13 x 42 x 59 = 322140

Least Common Multiple of 5460,7670 with GCF Formula

Least Common Multiple of 5460,7670 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 5460,7670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5460,7670) = 130

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

GCF(5460,7670) x common factors =130 x 1 = 130

LCM(5460,7670) = ( 5460 × 7670 ) / 130

LCM(5460,7670) = 41878200 / 130

LCM(5460,7670) = 322140


Lets's calculate GCF of 287,448

7 287, 448
41, 64

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322140/7

Therefore the LCM of Fractions 5460/287,7670/448 is 46020

Greatest Common Factor of 287,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,448 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 287,448 . The biggest common factor number is the GCF number.
So the greatest common factor 287,448 is 7.


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 5460/287, 7670/448

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 5460/287, 7670/448?

Answer: LCM of Numerators as per given numbers 5460/287, 7670/448 is

LCM of Numerators i.e. for 5460,7670 is 322140

GCF of denominators i.e. for 287,448 is 7.

Thus, LCM of Fractions is 46020.Finally, LCM of Fractions for 5460/287, 7670/448 is 46020.