Least Common Multiple of 47/92, 42/59, 92/93, 18/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/92, 42/59, 92/93, 18/700 quickly i.e. 272412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/92, 42/59, 92/93, 18/700 is 272412.

LCM(47/92, 42/59, 92/93, 18/700) = 272412

LCM of 47/92, 42/59, 92/93, 18/700

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 47/92,42/59,92/93,18/700

Given numbers are 47/92,42/59,92/93,18/700

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 47,42,92,18

Least Common Multiple of Numerators i.e. LCM of 47,42,92,18 is 272412.

GCF of Denominators means GCF of 92,59,93,700 as per the given fractions.

GCF of 92,59,93,700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,42,92,18

LCM of Fractions 47/92,42/59,92/93,18/700 is 272412

2 47, 42, 92, 18
3 47, 21, 46, 9
47, 7, 46, 3

∴ So the LCM of the given numbers is 2 x 3 x 47 x 7 x 46 x 3 = 272412

Least Common Multiple of 47,42,92,18 with GCF Formula

Least Common Multiple of 47,42,92,18 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 47,42,92,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,42,92,18) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(47,42,92,18) x common factors =1 x 12 = 12

LCM(47,42,92,18) = ( 47 × 42 × 92 × 18 ) / 12

LCM(47,42,92,18) = 3268944 / 12

LCM(47,42,92,18) = 272412


Lets's calculate GCF of 92,59,93,700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272412/1

Therefore the LCM of Fractions 47/92,42/59,92/93,18/700 is 272412

Greatest Common Factor of 92,59,93,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,59,93,700 By Matching Biggest Common Factor Method

Factors of 92

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

1,2,4,23,46,92

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 92,59,93,700 . The biggest common factor number is the GCF number.
So the greatest common factor 92,59,93,700 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 47/92, 42/59, 92/93, 18/700

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 47/92, 42/59, 92/93, 18/700?

Answer: LCM of Numerators as per given numbers 47/92, 42/59, 92/93, 18/700 is

LCM of Numerators i.e. for 47,42,92,18 is 272412

GCF of denominators i.e. for 92,59,93,700 is 1.

Thus, LCM of Fractions is 272412.Finally, LCM of Fractions for 47/92, 42/59, 92/93, 18/700 is 272412.