Least Common Multiple of 4750/215, 4712/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4750/215, 4712/942 quickly i.e. 589000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4750/215, 4712/942 is 589000.

LCM(4750/215, 4712/942) = 589000

LCM of 4750/215, 4712/942

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 4750/215,4712/942

Given numbers are 4750/215,4712/942

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 4750,4712

Least Common Multiple of Numerators i.e. LCM of 4750,4712 is 589000.

GCF of Denominators means GCF of 215,942 as per the given fractions.

GCF of 215,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4750,4712

LCM of Fractions 4750/215,4712/942 is 589000

2 4750, 4712
19 2375, 2356
125, 124

∴ So the LCM of the given numbers is 2 x 19 x 125 x 124 = 589000

Least Common Multiple of 4750,4712 with GCF Formula

Least Common Multiple of 4750,4712 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 4750,4712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4750,4712) = 38

common factors(in case of two or more numbers have common factors) = 1

GCF(4750,4712) x common factors =38 x 1 = 38

LCM(4750,4712) = ( 4750 × 4712 ) / 38

LCM(4750,4712) = 22382000 / 38

LCM(4750,4712) = 589000


Lets's calculate GCF of 215,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 589000/1

Therefore the LCM of Fractions 4750/215,4712/942 is 589000

Greatest Common Factor of 215,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,942 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 215,942 . The biggest common factor number is the GCF number.
So the greatest common factor 215,942 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4750/215, 4712/942

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 4750/215, 4712/942?

Answer: LCM of Numerators as per given numbers 4750/215, 4712/942 is

LCM of Numerators i.e. for 4750,4712 is 589000

GCF of denominators i.e. for 215,942 is 1.

Thus, LCM of Fractions is 589000.Finally, LCM of Fractions for 4750/215, 4712/942 is 589000.