Least Common Multiple of 708/49, 886/82, 793/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 708/49, 886/82, 793/894 quickly i.e. 248719692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/49, 886/82, 793/894 is 248719692.

LCM(708/49, 886/82, 793/894) = 248719692

LCM of 708/49, 886/82, 793/894

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 708/49,886/82,793/894

Given numbers are 708/49,886/82,793/894

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 708,886,793

Least Common Multiple of Numerators i.e. LCM of 708,886,793 is 248719692.

GCF of Denominators means GCF of 49,82,894 as per the given fractions.

GCF of 49,82,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,886,793

LCM of Fractions 708/49,886/82,793/894 is 248719692

2 708, 886, 793
354, 443, 793

∴ So the LCM of the given numbers is 2 x 354 x 443 x 793 = 248719692

Least Common Multiple of 708,886,793 with GCF Formula

Least Common Multiple of 708,886,793 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 708,886,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,886,793) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(708,886,793) x common factors =1 x 2 = 2

LCM(708,886,793) = ( 708 × 886 × 793 ) / 2

LCM(708,886,793) = 497439384 / 2

LCM(708,886,793) = 248719692


Lets's calculate GCF of 49,82,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248719692/1

Therefore the LCM of Fractions 708/49,886/82,793/894 is 248719692

Greatest Common Factor of 49,82,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,82,894 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 49,82,894 . The biggest common factor number is the GCF number.
So the greatest common factor 49,82,894 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 708/49, 886/82, 793/894

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 708/49, 886/82, 793/894?

Answer: LCM of Numerators as per given numbers 708/49, 886/82, 793/894 is

LCM of Numerators i.e. for 708,886,793 is 248719692

GCF of denominators i.e. for 49,82,894 is 1.

Thus, LCM of Fractions is 248719692.Finally, LCM of Fractions for 708/49, 886/82, 793/894 is 248719692.