Least Common Multiple of 358/86, 8784/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 358/86, 8784/798 quickly i.e. 786168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 358/86, 8784/798 is 786168.

LCM(358/86, 8784/798) = 786168

LCM of 358/86, 8784/798

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 358/86,8784/798

Given numbers are 358/86,8784/798

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 358,8784

Least Common Multiple of Numerators i.e. LCM of 358,8784 is 1572336.

GCF of Denominators means GCF of 86,798 as per the given fractions.

GCF of 86,798 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 358,8784

LCM of Fractions 358/86,8784/798 is 786168

2 358, 8784
179, 4392

∴ So the LCM of the given numbers is 2 x 179 x 4392 = 1572336

Least Common Multiple of 358,8784 with GCF Formula

Least Common Multiple of 358,8784 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 358,8784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,8784) = 2

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

GCF(358,8784) x common factors =2 x 1 = 2

LCM(358,8784) = ( 358 × 8784 ) / 2

LCM(358,8784) = 3144672 / 2

LCM(358,8784) = 1572336


Lets's calculate GCF of 86,798

2 86, 798
43, 399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1572336/2

Therefore the LCM of Fractions 358/86,8784/798 is 786168

Greatest Common Factor of 86,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,798 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 86,798 . The biggest common factor number is the GCF number.
So the greatest common factor 86,798 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 358/86, 8784/798

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 358/86, 8784/798?

Answer: LCM of Numerators as per given numbers 358/86, 8784/798 is

LCM of Numerators i.e. for 358,8784 is 1572336

GCF of denominators i.e. for 86,798 is 2.

Thus, LCM of Fractions is 786168.Finally, LCM of Fractions for 358/86, 8784/798 is 786168.