Least Common Multiple of 7453/648, 1776/1752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7453/648, 1776/1752 quickly i.e. 551522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7453/648, 1776/1752 is 551522.

LCM(7453/648, 1776/1752) = 551522

LCM of 7453/648, 1776/1752

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 7453/648,1776/1752

Given numbers are 7453/648,1776/1752

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 7453,1776

Least Common Multiple of Numerators i.e. LCM of 7453,1776 is 13236528.

GCF of Denominators means GCF of 648,1752 as per the given fractions.

GCF of 648,1752 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7453,1776

LCM of Fractions 7453/648,1776/1752 is 551522

Given numbers has no common factors except 1. So, there LCM is their product i.e 13236528

Least Common Multiple of 7453,1776 with GCF Formula

Least Common Multiple of 7453,1776 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 7453,1776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7453,1776) = 1

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

GCF(7453,1776) x common factors =1 x 1 = 1

LCM(7453,1776) = ( 7453 × 1776 ) / 1

LCM(7453,1776) = 13236528 / 1

LCM(7453,1776) = 13236528


Lets's calculate GCF of 648,1752

2 648, 1752
2 324, 876
2 162, 438
3 81, 219
27, 73

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13236528/24

Therefore the LCM of Fractions 7453/648,1776/1752 is 551522

Greatest Common Factor of 648,1752 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,1752 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 1752

List of positive integer factors of 1752 that divides 1752 without a remainder.

1,2,3,4,6,8,12,24,73,146,219,292,438,584,876,1752

Greatest Common Factor

We found the factors 648,1752 . The biggest common factor number is the GCF number.
So the greatest common factor 648,1752 is 24.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7453/648, 1776/1752

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 7453/648, 1776/1752?

Answer: LCM of Numerators as per given numbers 7453/648, 1776/1752 is

LCM of Numerators i.e. for 7453,1776 is 13236528

GCF of denominators i.e. for 648,1752 is 24.

Thus, LCM of Fractions is 551522.Finally, LCM of Fractions for 7453/648, 1776/1752 is 551522.