Least Common Multiple of 4822/674, 3010/9120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4822/674, 3010/9120 quickly i.e. 3628555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4822/674, 3010/9120 is 3628555.

LCM(4822/674, 3010/9120) = 3628555

LCM of 4822/674, 3010/9120

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 4822/674,3010/9120

Given numbers are 4822/674,3010/9120

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 4822,3010

Least Common Multiple of Numerators i.e. LCM of 4822,3010 is 7257110.

GCF of Denominators means GCF of 674,9120 as per the given fractions.

GCF of 674,9120 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4822,3010

LCM of Fractions 4822/674,3010/9120 is 3628555

2 4822, 3010
2411, 1505

∴ So the LCM of the given numbers is 2 x 2411 x 1505 = 7257110

Least Common Multiple of 4822,3010 with GCF Formula

Least Common Multiple of 4822,3010 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 4822,3010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4822,3010) = 2

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

GCF(4822,3010) x common factors =2 x 1 = 2

LCM(4822,3010) = ( 4822 × 3010 ) / 2

LCM(4822,3010) = 14514220 / 2

LCM(4822,3010) = 7257110


Lets's calculate GCF of 674,9120

2 674, 9120
337, 4560

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7257110/2

Therefore the LCM of Fractions 4822/674,3010/9120 is 3628555

Greatest Common Factor of 674,9120 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,9120 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 9120

List of positive integer factors of 9120 that divides 9120 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,32,38,40,48,57,60,76,80,95,96,114,120,152,160,190,228,240,285,304,380,456,480,570,608,760,912,1140,1520,1824,2280,3040,4560,9120

Greatest Common Factor

We found the factors 674,9120 . The biggest common factor number is the GCF number.
So the greatest common factor 674,9120 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 4822/674, 3010/9120

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 4822/674, 3010/9120?

Answer: LCM of Numerators as per given numbers 4822/674, 3010/9120 is

LCM of Numerators i.e. for 4822,3010 is 7257110

GCF of denominators i.e. for 674,9120 is 2.

Thus, LCM of Fractions is 3628555.Finally, LCM of Fractions for 4822/674, 3010/9120 is 3628555.