Least Common Multiple of 745/17, 904/94, 925/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 745/17, 904/94, 925/92 quickly i.e. 124593800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 745/17, 904/94, 925/92 is 124593800.

LCM(745/17, 904/94, 925/92) = 124593800

LCM of 745/17, 904/94, 925/92

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 745/17,904/94,925/92

Given numbers are 745/17,904/94,925/92

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 745,904,925

Least Common Multiple of Numerators i.e. LCM of 745,904,925 is 124593800.

GCF of Denominators means GCF of 17,94,92 as per the given fractions.

GCF of 17,94,92 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 745,904,925

LCM of Fractions 745/17,904/94,925/92 is 124593800

5 745, 904, 925
149, 904, 185

∴ So the LCM of the given numbers is 5 x 149 x 904 x 185 = 124593800

Least Common Multiple of 745,904,925 with GCF Formula

Least Common Multiple of 745,904,925 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 745,904,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,904,925) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(745,904,925) x common factors =1 x 5 = 5

LCM(745,904,925) = ( 745 × 904 × 925 ) / 5

LCM(745,904,925) = 622969000 / 5

LCM(745,904,925) = 124593800


Lets's calculate GCF of 17,94,92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124593800/1

Therefore the LCM of Fractions 745/17,904/94,925/92 is 124593800

Greatest Common Factor of 17,94,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,94,92 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 17,94,92 . The biggest common factor number is the GCF number.
So the greatest common factor 17,94,92 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 745/17, 904/94, 925/92

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 745/17, 904/94, 925/92?

Answer: LCM of Numerators as per given numbers 745/17, 904/94, 925/92 is

LCM of Numerators i.e. for 745,904,925 is 124593800

GCF of denominators i.e. for 17,94,92 is 1.

Thus, LCM of Fractions is 124593800.Finally, LCM of Fractions for 745/17, 904/94, 925/92 is 124593800.