Least Common Multiple of 7052/740, 6548/1471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7052/740, 6548/1471 quickly i.e. 11544124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7052/740, 6548/1471 is 11544124.

LCM(7052/740, 6548/1471) = 11544124

LCM of 7052/740, 6548/1471

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 7052/740,6548/1471

Given numbers are 7052/740,6548/1471

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 7052,6548

Least Common Multiple of Numerators i.e. LCM of 7052,6548 is 11544124.

GCF of Denominators means GCF of 740,1471 as per the given fractions.

GCF of 740,1471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7052,6548

LCM of Fractions 7052/740,6548/1471 is 11544124

2 7052, 6548
2 3526, 3274
1763, 1637

∴ So the LCM of the given numbers is 2 x 2 x 1763 x 1637 = 11544124

Least Common Multiple of 7052,6548 with GCF Formula

Least Common Multiple of 7052,6548 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 7052,6548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7052,6548) = 4

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

GCF(7052,6548) x common factors =4 x 1 = 4

LCM(7052,6548) = ( 7052 × 6548 ) / 4

LCM(7052,6548) = 46176496 / 4

LCM(7052,6548) = 11544124


Lets's calculate GCF of 740,1471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11544124/1

Therefore the LCM of Fractions 7052/740,6548/1471 is 11544124

Greatest Common Factor of 740,1471 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,1471 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 1471

List of positive integer factors of 1471 that divides 1471 without a remainder.

1,1471

Greatest Common Factor

We found the factors 740,1471 . The biggest common factor number is the GCF number.
So the greatest common factor 740,1471 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7052/740, 6548/1471

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 7052/740, 6548/1471?

Answer: LCM of Numerators as per given numbers 7052/740, 6548/1471 is

LCM of Numerators i.e. for 7052,6548 is 11544124

GCF of denominators i.e. for 740,1471 is 1.

Thus, LCM of Fractions is 11544124.Finally, LCM of Fractions for 7052/740, 6548/1471 is 11544124.