Least Common Multiple of 92/88, 70/23, 815/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/88, 70/23, 815/392 quickly i.e. 524860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/88, 70/23, 815/392 is 524860.

LCM(92/88, 70/23, 815/392) = 524860

LCM of 92/88, 70/23, 815/392

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 92/88,70/23,815/392

Given numbers are 92/88,70/23,815/392

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 92,70,815

Least Common Multiple of Numerators i.e. LCM of 92,70,815 is 524860.

GCF of Denominators means GCF of 88,23,392 as per the given fractions.

GCF of 88,23,392 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,70,815

LCM of Fractions 92/88,70/23,815/392 is 524860

2 92, 70, 815
5 46, 35, 815
46, 7, 163

∴ So the LCM of the given numbers is 2 x 5 x 46 x 7 x 163 = 524860

Least Common Multiple of 92,70,815 with GCF Formula

Least Common Multiple of 92,70,815 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 92,70,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,70,815) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(92,70,815) x common factors =1 x 10 = 10

LCM(92,70,815) = ( 92 × 70 × 815 ) / 10

LCM(92,70,815) = 5248600 / 10

LCM(92,70,815) = 524860


Lets's calculate GCF of 88,23,392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 524860/1

Therefore the LCM of Fractions 92/88,70/23,815/392 is 524860

Greatest Common Factor of 88,23,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,23,392 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 88,23,392 . The biggest common factor number is the GCF number.
So the greatest common factor 88,23,392 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/88, 70/23, 815/392

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 92/88, 70/23, 815/392?

Answer: LCM of Numerators as per given numbers 92/88, 70/23, 815/392 is

LCM of Numerators i.e. for 92,70,815 is 524860

GCF of denominators i.e. for 88,23,392 is 1.

Thus, LCM of Fractions is 524860.Finally, LCM of Fractions for 92/88, 70/23, 815/392 is 524860.