Least Common Multiple of 5232/152, 9016/5704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5232/152, 9016/5704 quickly i.e. 737058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5232/152, 9016/5704 is 737058.

LCM(5232/152, 9016/5704) = 737058

LCM of 5232/152, 9016/5704

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 5232/152,9016/5704

Given numbers are 5232/152,9016/5704

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 5232,9016

Least Common Multiple of Numerators i.e. LCM of 5232,9016 is 5896464.

GCF of Denominators means GCF of 152,5704 as per the given fractions.

GCF of 152,5704 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5232,9016

LCM of Fractions 5232/152,9016/5704 is 737058

2 5232, 9016
2 2616, 4508
2 1308, 2254
654, 1127

∴ So the LCM of the given numbers is 2 x 2 x 2 x 654 x 1127 = 5896464

Least Common Multiple of 5232,9016 with GCF Formula

Least Common Multiple of 5232,9016 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 5232,9016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5232,9016) = 8

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

GCF(5232,9016) x common factors =8 x 1 = 8

LCM(5232,9016) = ( 5232 × 9016 ) / 8

LCM(5232,9016) = 47171712 / 8

LCM(5232,9016) = 5896464


Lets's calculate GCF of 152,5704

2 152, 5704
2 76, 2852
2 38, 1426
19, 713

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5896464/8

Therefore the LCM of Fractions 5232/152,9016/5704 is 737058

Greatest Common Factor of 152,5704 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,5704 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 5704

List of positive integer factors of 5704 that divides 5704 without a remainder.

1,2,4,8,23,31,46,62,92,124,184,248,713,1426,2852,5704

Greatest Common Factor

We found the factors 152,5704 . The biggest common factor number is the GCF number.
So the greatest common factor 152,5704 is 8.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5232/152, 9016/5704

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 5232/152, 9016/5704?

Answer: LCM of Numerators as per given numbers 5232/152, 9016/5704 is

LCM of Numerators i.e. for 5232,9016 is 5896464

GCF of denominators i.e. for 152,5704 is 8.

Thus, LCM of Fractions is 737058.Finally, LCM of Fractions for 5232/152, 9016/5704 is 737058.