Least Common Multiple of 610/774, 5090/9002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 610/774, 5090/9002 quickly i.e. 155245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 610/774, 5090/9002 is 155245.

LCM(610/774, 5090/9002) = 155245

LCM of 610/774, 5090/9002

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 610/774,5090/9002

Given numbers are 610/774,5090/9002

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 610,5090

Least Common Multiple of Numerators i.e. LCM of 610,5090 is 310490.

GCF of Denominators means GCF of 774,9002 as per the given fractions.

GCF of 774,9002 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 610,5090

LCM of Fractions 610/774,5090/9002 is 155245

2 610, 5090
5 305, 2545
61, 509

∴ So the LCM of the given numbers is 2 x 5 x 61 x 509 = 310490

Least Common Multiple of 610,5090 with GCF Formula

Least Common Multiple of 610,5090 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 610,5090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,5090) = 10

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

GCF(610,5090) x common factors =10 x 1 = 10

LCM(610,5090) = ( 610 × 5090 ) / 10

LCM(610,5090) = 3104900 / 10

LCM(610,5090) = 310490


Lets's calculate GCF of 774,9002

2 774, 9002
387, 4501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310490/2

Therefore the LCM of Fractions 610/774,5090/9002 is 155245

Greatest Common Factor of 774,9002 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,9002 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 9002

List of positive integer factors of 9002 that divides 9002 without a remainder.

1,2,7,14,643,1286,4501,9002

Greatest Common Factor

We found the factors 774,9002 . The biggest common factor number is the GCF number.
So the greatest common factor 774,9002 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 610/774, 5090/9002

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 610/774, 5090/9002?

Answer: LCM of Numerators as per given numbers 610/774, 5090/9002 is

LCM of Numerators i.e. for 610,5090 is 310490

GCF of denominators i.e. for 774,9002 is 2.

Thus, LCM of Fractions is 155245.Finally, LCM of Fractions for 610/774, 5090/9002 is 155245.