Least Common Multiple of 488/72, 837/90, 350/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/72, 837/90, 350/890 quickly i.e. 35739900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/72, 837/90, 350/890 is 35739900.

LCM(488/72, 837/90, 350/890) = 35739900

LCM of 488/72, 837/90, 350/890

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 488/72,837/90,350/890

Given numbers are 488/72,837/90,350/890

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 488,837,350

Least Common Multiple of Numerators i.e. LCM of 488,837,350 is 71479800.

GCF of Denominators means GCF of 72,90,890 as per the given fractions.

GCF of 72,90,890 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,837,350

LCM of Fractions 488/72,837/90,350/890 is 35739900

2 488, 837, 350
244, 837, 175

∴ So the LCM of the given numbers is 2 x 244 x 837 x 175 = 71479800

Least Common Multiple of 488,837,350 with GCF Formula

Least Common Multiple of 488,837,350 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 488,837,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,837,350) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(488,837,350) x common factors =1 x 2 = 2

LCM(488,837,350) = ( 488 × 837 × 350 ) / 2

LCM(488,837,350) = 142959600 / 2

LCM(488,837,350) = 71479800


Lets's calculate GCF of 72,90,890

2 72, 90, 890
36, 45, 445

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71479800/2

Therefore the LCM of Fractions 488/72,837/90,350/890 is 35739900

Greatest Common Factor of 72,90,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,90,890 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 72,90,890 . The biggest common factor number is the GCF number.
So the greatest common factor 72,90,890 is 2.


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 488/72, 837/90, 350/890

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 488/72, 837/90, 350/890?

Answer: LCM of Numerators as per given numbers 488/72, 837/90, 350/890 is

LCM of Numerators i.e. for 488,837,350 is 71479800

GCF of denominators i.e. for 72,90,890 is 2.

Thus, LCM of Fractions is 35739900.Finally, LCM of Fractions for 488/72, 837/90, 350/890 is 35739900.