Least Common Multiple of 808/64, 352/2736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 808/64, 352/2736 quickly i.e. 2222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 808/64, 352/2736 is 2222.

LCM(808/64, 352/2736) = 2222

LCM of 808/64, 352/2736

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 808/64,352/2736

Given numbers are 808/64,352/2736

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 808,352

Least Common Multiple of Numerators i.e. LCM of 808,352 is 35552.

GCF of Denominators means GCF of 64,2736 as per the given fractions.

GCF of 64,2736 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 808,352

LCM of Fractions 808/64,352/2736 is 2222

2 808, 352
2 404, 176
2 202, 88
101, 44

∴ So the LCM of the given numbers is 2 x 2 x 2 x 101 x 44 = 35552

Least Common Multiple of 808,352 with GCF Formula

Least Common Multiple of 808,352 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 808,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,352) = 8

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

GCF(808,352) x common factors =8 x 1 = 8

LCM(808,352) = ( 808 × 352 ) / 8

LCM(808,352) = 284416 / 8

LCM(808,352) = 35552


Lets's calculate GCF of 64,2736

2 64, 2736
2 32, 1368
2 16, 684
2 8, 342
4, 171

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35552/16

Therefore the LCM of Fractions 808/64,352/2736 is 2222

Greatest Common Factor of 64,2736 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,2736 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 2736

List of positive integer factors of 2736 that divides 2736 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,36,38,48,57,72,76,114,144,152,171,228,304,342,456,684,912,1368,2736

Greatest Common Factor

We found the factors 64,2736 . The biggest common factor number is the GCF number.
So the greatest common factor 64,2736 is 16.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 808/64, 352/2736

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 808/64, 352/2736?

Answer: LCM of Numerators as per given numbers 808/64, 352/2736 is

LCM of Numerators i.e. for 808,352 is 35552

GCF of denominators i.e. for 64,2736 is 16.

Thus, LCM of Fractions is 2222.Finally, LCM of Fractions for 808/64, 352/2736 is 2222.