Least Common Multiple of 795/75, 248/49, 681/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 795/75, 248/49, 681/658 quickly i.e. 44755320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 795/75, 248/49, 681/658 is 44755320.

LCM(795/75, 248/49, 681/658) = 44755320

LCM of 795/75, 248/49, 681/658

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 795/75,248/49,681/658

Given numbers are 795/75,248/49,681/658

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 795,248,681

Least Common Multiple of Numerators i.e. LCM of 795,248,681 is 44755320.

GCF of Denominators means GCF of 75,49,658 as per the given fractions.

GCF of 75,49,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 795,248,681

LCM of Fractions 795/75,248/49,681/658 is 44755320

3 795, 248, 681
265, 248, 227

∴ So the LCM of the given numbers is 3 x 265 x 248 x 227 = 44755320

Least Common Multiple of 795,248,681 with GCF Formula

Least Common Multiple of 795,248,681 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 795,248,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,248,681) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(795,248,681) x common factors =1 x 3 = 3

LCM(795,248,681) = ( 795 × 248 × 681 ) / 3

LCM(795,248,681) = 134265960 / 3

LCM(795,248,681) = 44755320


Lets's calculate GCF of 75,49,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44755320/1

Therefore the LCM of Fractions 795/75,248/49,681/658 is 44755320

Greatest Common Factor of 75,49,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,49,658 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 49

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

1,7,49

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 75,49,658 . The biggest common factor number is the GCF number.
So the greatest common factor 75,49,658 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 795/75, 248/49, 681/658

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 795/75, 248/49, 681/658?

Answer: LCM of Numerators as per given numbers 795/75, 248/49, 681/658 is

LCM of Numerators i.e. for 795,248,681 is 44755320

GCF of denominators i.e. for 75,49,658 is 1.

Thus, LCM of Fractions is 44755320.Finally, LCM of Fractions for 795/75, 248/49, 681/658 is 44755320.