Least Common Multiple of 5496/140, 1568/9453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5496/140, 1568/9453 quickly i.e. 1077216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5496/140, 1568/9453 is 1077216.

LCM(5496/140, 1568/9453) = 1077216

LCM of 5496/140, 1568/9453

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 5496/140,1568/9453

Given numbers are 5496/140,1568/9453

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 5496,1568

Least Common Multiple of Numerators i.e. LCM of 5496,1568 is 1077216.

GCF of Denominators means GCF of 140,9453 as per the given fractions.

GCF of 140,9453 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5496,1568

LCM of Fractions 5496/140,1568/9453 is 1077216

2 5496, 1568
2 2748, 784
2 1374, 392
687, 196

∴ So the LCM of the given numbers is 2 x 2 x 2 x 687 x 196 = 1077216

Least Common Multiple of 5496,1568 with GCF Formula

Least Common Multiple of 5496,1568 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 5496,1568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5496,1568) = 8

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

GCF(5496,1568) x common factors =8 x 1 = 8

LCM(5496,1568) = ( 5496 × 1568 ) / 8

LCM(5496,1568) = 8617728 / 8

LCM(5496,1568) = 1077216


Lets's calculate GCF of 140,9453

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1077216/1

Therefore the LCM of Fractions 5496/140,1568/9453 is 1077216

Greatest Common Factor of 140,9453 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,9453 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 9453

List of positive integer factors of 9453 that divides 9453 without a remainder.

1,3,23,69,137,411,3151,9453

Greatest Common Factor

We found the factors 140,9453 . The biggest common factor number is the GCF number.
So the greatest common factor 140,9453 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5496/140, 1568/9453

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 5496/140, 1568/9453?

Answer: LCM of Numerators as per given numbers 5496/140, 1568/9453 is

LCM of Numerators i.e. for 5496,1568 is 1077216

GCF of denominators i.e. for 140,9453 is 1.

Thus, LCM of Fractions is 1077216.Finally, LCM of Fractions for 5496/140, 1568/9453 is 1077216.