Least Common Multiple of 890/175, 7410/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 890/175, 7410/606 quickly i.e. 659490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 890/175, 7410/606 is 659490.

LCM(890/175, 7410/606) = 659490

LCM of 890/175, 7410/606

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 890/175,7410/606

Given numbers are 890/175,7410/606

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 890,7410

Least Common Multiple of Numerators i.e. LCM of 890,7410 is 659490.

GCF of Denominators means GCF of 175,606 as per the given fractions.

GCF of 175,606 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 890,7410

LCM of Fractions 890/175,7410/606 is 659490

2 890, 7410
5 445, 3705
89, 741

∴ So the LCM of the given numbers is 2 x 5 x 89 x 741 = 659490

Least Common Multiple of 890,7410 with GCF Formula

Least Common Multiple of 890,7410 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 890,7410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,7410) = 10

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

GCF(890,7410) x common factors =10 x 1 = 10

LCM(890,7410) = ( 890 × 7410 ) / 10

LCM(890,7410) = 6594900 / 10

LCM(890,7410) = 659490


Lets's calculate GCF of 175,606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 659490/1

Therefore the LCM of Fractions 890/175,7410/606 is 659490

Greatest Common Factor of 175,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,606 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 175,606 . The biggest common factor number is the GCF number.
So the greatest common factor 175,606 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 890/175, 7410/606

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 890/175, 7410/606?

Answer: LCM of Numerators as per given numbers 890/175, 7410/606 is

LCM of Numerators i.e. for 890,7410 is 659490

GCF of denominators i.e. for 175,606 is 1.

Thus, LCM of Fractions is 659490.Finally, LCM of Fractions for 890/175, 7410/606 is 659490.