Least Common Multiple of 46/836, 316/106, 515/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/836, 316/106, 515/144 quickly i.e. 1871510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/836, 316/106, 515/144 is 1871510.

LCM(46/836, 316/106, 515/144) = 1871510

LCM of 46/836, 316/106, 515/144

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 46/836,316/106,515/144

Given numbers are 46/836,316/106,515/144

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 46,316,515

Least Common Multiple of Numerators i.e. LCM of 46,316,515 is 3743020.

GCF of Denominators means GCF of 836,106,144 as per the given fractions.

GCF of 836,106,144 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,316,515

LCM of Fractions 46/836,316/106,515/144 is 1871510

2 46, 316, 515
23, 158, 515

∴ So the LCM of the given numbers is 2 x 23 x 158 x 515 = 3743020

Least Common Multiple of 46,316,515 with GCF Formula

Least Common Multiple of 46,316,515 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 46,316,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,316,515) = 1

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

GCF(46,316,515) x common factors =1 x 2 = 2

LCM(46,316,515) = ( 46 × 316 × 515 ) / 2

LCM(46,316,515) = 7486040 / 2

LCM(46,316,515) = 3743020


Lets's calculate GCF of 836,106,144

2 836, 106, 144
418, 53, 72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3743020/2

Therefore the LCM of Fractions 46/836,316/106,515/144 is 1871510

Greatest Common Factor of 836,106,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,106,144 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 836,106,144 . The biggest common factor number is the GCF number.
So the greatest common factor 836,106,144 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/836, 316/106, 515/144

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 46/836, 316/106, 515/144?

Answer: LCM of Numerators as per given numbers 46/836, 316/106, 515/144 is

LCM of Numerators i.e. for 46,316,515 is 3743020

GCF of denominators i.e. for 836,106,144 is 2.

Thus, LCM of Fractions is 1871510.Finally, LCM of Fractions for 46/836, 316/106, 515/144 is 1871510.