Least Common Multiple of 1072/814, 7576/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1072/814, 7576/449 quickly i.e. 1015184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1072/814, 7576/449 is 1015184.

LCM(1072/814, 7576/449) = 1015184

LCM of 1072/814, 7576/449

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 1072/814,7576/449

Given numbers are 1072/814,7576/449

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 1072,7576

Least Common Multiple of Numerators i.e. LCM of 1072,7576 is 1015184.

GCF of Denominators means GCF of 814,449 as per the given fractions.

GCF of 814,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1072,7576

LCM of Fractions 1072/814,7576/449 is 1015184

2 1072, 7576
2 536, 3788
2 268, 1894
134, 947

∴ So the LCM of the given numbers is 2 x 2 x 2 x 134 x 947 = 1015184

Least Common Multiple of 1072,7576 with GCF Formula

Least Common Multiple of 1072,7576 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 1072,7576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1072,7576) = 8

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

GCF(1072,7576) x common factors =8 x 1 = 8

LCM(1072,7576) = ( 1072 × 7576 ) / 8

LCM(1072,7576) = 8121472 / 8

LCM(1072,7576) = 1015184


Lets's calculate GCF of 814,449

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1015184/1

Therefore the LCM of Fractions 1072/814,7576/449 is 1015184

Greatest Common Factor of 814,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,449 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 814,449 . The biggest common factor number is the GCF number.
So the greatest common factor 814,449 is 1.


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 1072/814, 7576/449

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 1072/814, 7576/449?

Answer: LCM of Numerators as per given numbers 1072/814, 7576/449 is

LCM of Numerators i.e. for 1072,7576 is 1015184

GCF of denominators i.e. for 814,449 is 1.

Thus, LCM of Fractions is 1015184.Finally, LCM of Fractions for 1072/814, 7576/449 is 1015184.