Least Common Multiple of 849/340, 4640/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 849/340, 4640/632 quickly i.e. 984840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/340, 4640/632 is 984840.

LCM(849/340, 4640/632) = 984840

LCM of 849/340, 4640/632

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 849/340,4640/632

Given numbers are 849/340,4640/632

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 849,4640

Least Common Multiple of Numerators i.e. LCM of 849,4640 is 3939360.

GCF of Denominators means GCF of 340,632 as per the given fractions.

GCF of 340,632 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,4640

LCM of Fractions 849/340,4640/632 is 984840

Given numbers has no common factors except 1. So, there LCM is their product i.e 3939360

Least Common Multiple of 849,4640 with GCF Formula

Least Common Multiple of 849,4640 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 849,4640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,4640) = 1

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

GCF(849,4640) x common factors =1 x 1 = 1

LCM(849,4640) = ( 849 × 4640 ) / 1

LCM(849,4640) = 3939360 / 1

LCM(849,4640) = 3939360


Lets's calculate GCF of 340,632

2 340, 632
2 170, 316
85, 158

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3939360/4

Therefore the LCM of Fractions 849/340,4640/632 is 984840

Greatest Common Factor of 340,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,632 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 340,632 . The biggest common factor number is the GCF number.
So the greatest common factor 340,632 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 849/340, 4640/632

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 849/340, 4640/632?

Answer: LCM of Numerators as per given numbers 849/340, 4640/632 is

LCM of Numerators i.e. for 849,4640 is 3939360

GCF of denominators i.e. for 340,632 is 4.

Thus, LCM of Fractions is 984840.Finally, LCM of Fractions for 849/340, 4640/632 is 984840.