Least Common Multiple of 89/356, 852/459, 844/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/356, 852/459, 844/713 quickly i.e. 15999708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/356, 852/459, 844/713 is 15999708.

LCM(89/356, 852/459, 844/713) = 15999708

LCM of 89/356, 852/459, 844/713

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 89/356,852/459,844/713

Given numbers are 89/356,852/459,844/713

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 89,852,844

Least Common Multiple of Numerators i.e. LCM of 89,852,844 is 15999708.

GCF of Denominators means GCF of 356,459,713 as per the given fractions.

GCF of 356,459,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,852,844

LCM of Fractions 89/356,852/459,844/713 is 15999708

2 89, 852, 844
2 89, 426, 422
89, 213, 211

∴ So the LCM of the given numbers is 2 x 2 x 89 x 213 x 211 = 15999708

Least Common Multiple of 89,852,844 with GCF Formula

Least Common Multiple of 89,852,844 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 89,852,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,852,844) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(89,852,844) x common factors =1 x 4 = 4

LCM(89,852,844) = ( 89 × 852 × 844 ) / 4

LCM(89,852,844) = 63998832 / 4

LCM(89,852,844) = 15999708


Lets's calculate GCF of 356,459,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15999708/1

Therefore the LCM of Fractions 89/356,852/459,844/713 is 15999708

Greatest Common Factor of 356,459,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,459,713 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 356,459,713 . The biggest common factor number is the GCF number.
So the greatest common factor 356,459,713 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 89/356, 852/459, 844/713

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 89/356, 852/459, 844/713?

Answer: LCM of Numerators as per given numbers 89/356, 852/459, 844/713 is

LCM of Numerators i.e. for 89,852,844 is 15999708

GCF of denominators i.e. for 356,459,713 is 1.

Thus, LCM of Fractions is 15999708.Finally, LCM of Fractions for 89/356, 852/459, 844/713 is 15999708.