Least Common Multiple of 92/35, 715/34, 385/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/35, 715/34, 385/575 quickly i.e. 460460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/35, 715/34, 385/575 is 460460.

LCM(92/35, 715/34, 385/575) = 460460

LCM of 92/35, 715/34, 385/575

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 92/35,715/34,385/575

Given numbers are 92/35,715/34,385/575

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 92,715,385

Least Common Multiple of Numerators i.e. LCM of 92,715,385 is 460460.

GCF of Denominators means GCF of 35,34,575 as per the given fractions.

GCF of 35,34,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,715,385

LCM of Fractions 92/35,715/34,385/575 is 460460

5 92, 715, 385
11 92, 143, 77
92, 13, 7

∴ So the LCM of the given numbers is 5 x 11 x 92 x 13 x 7 = 460460

Least Common Multiple of 92,715,385 with GCF Formula

Least Common Multiple of 92,715,385 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 92,715,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,715,385) = 1

common factors(in case of two or more numbers have common factors) = 55

GCF(92,715,385) x common factors =1 x 55 = 55

LCM(92,715,385) = ( 92 × 715 × 385 ) / 55

LCM(92,715,385) = 25325300 / 55

LCM(92,715,385) = 460460


Lets's calculate GCF of 35,34,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 460460/1

Therefore the LCM of Fractions 92/35,715/34,385/575 is 460460

Greatest Common Factor of 35,34,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,34,575 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 35,34,575 . The biggest common factor number is the GCF number.
So the greatest common factor 35,34,575 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 92/35, 715/34, 385/575

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 92/35, 715/34, 385/575?

Answer: LCM of Numerators as per given numbers 92/35, 715/34, 385/575 is

LCM of Numerators i.e. for 92,715,385 is 460460

GCF of denominators i.e. for 35,34,575 is 1.

Thus, LCM of Fractions is 460460.Finally, LCM of Fractions for 92/35, 715/34, 385/575 is 460460.