Least Common Multiple of 447/553, 1076/3507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 447/553, 1076/3507 quickly i.e. 480972/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 447/553, 1076/3507 is 480972/7.

LCM(447/553, 1076/3507) = 480972/7

LCM of 447/553, 1076/3507

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 447/553,1076/3507

Given numbers are 447/553,1076/3507

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 447,1076

Least Common Multiple of Numerators i.e. LCM of 447,1076 is 480972.

GCF of Denominators means GCF of 553,3507 as per the given fractions.

GCF of 553,3507 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 447,1076

LCM of Fractions 447/553,1076/3507 is 480972/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 480972

Least Common Multiple of 447,1076 with GCF Formula

Least Common Multiple of 447,1076 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 447,1076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,1076) = 1

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

GCF(447,1076) x common factors =1 x 1 = 1

LCM(447,1076) = ( 447 × 1076 ) / 1

LCM(447,1076) = 480972 / 1

LCM(447,1076) = 480972


Lets's calculate GCF of 553,3507

7 553, 3507
79, 501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 480972/7

Therefore the LCM of Fractions 447/553,1076/3507 is 480972/7

Greatest Common Factor of 553,3507 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,3507 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 3507

List of positive integer factors of 3507 that divides 3507 without a remainder.

1,3,7,21,167,501,1169,3507

Greatest Common Factor

We found the factors 553,3507 . The biggest common factor number is the GCF number.
So the greatest common factor 553,3507 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 447/553, 1076/3507

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 447/553, 1076/3507?

Answer: LCM of Numerators as per given numbers 447/553, 1076/3507 is

LCM of Numerators i.e. for 447,1076 is 480972

GCF of denominators i.e. for 553,3507 is 7.

Thus, LCM of Fractions is 480972/7.Finally, LCM of Fractions for 447/553, 1076/3507 is 480972/7.