Least Common Multiple of 38/976, 836/889, 352/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/976, 836/889, 352/533 quickly i.e. 6688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/976, 836/889, 352/533 is 6688.

LCM(38/976, 836/889, 352/533) = 6688

LCM of 38/976, 836/889, 352/533

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 38/976,836/889,352/533

Given numbers are 38/976,836/889,352/533

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 38,836,352

Least Common Multiple of Numerators i.e. LCM of 38,836,352 is 6688.

GCF of Denominators means GCF of 976,889,533 as per the given fractions.

GCF of 976,889,533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,836,352

LCM of Fractions 38/976,836/889,352/533 is 6688

2 38, 836, 352
2 19, 418, 176
11 19, 209, 88
19 19, 19, 8
1, 1, 8

∴ So the LCM of the given numbers is 2 x 2 x 11 x 19 x 1 x 1 x 8 = 6688

Least Common Multiple of 38,836,352 with GCF Formula

Least Common Multiple of 38,836,352 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 38,836,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,836,352) = 2

common factors(in case of two or more numbers have common factors) = 836

GCF(38,836,352) x common factors =2 x 836 = 1672

LCM(38,836,352) = ( 38 × 836 × 352 ) / 1672

LCM(38,836,352) = 11182336 / 1672

LCM(38,836,352) = 6688


Lets's calculate GCF of 976,889,533

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6688/1

Therefore the LCM of Fractions 38/976,836/889,352/533 is 6688

Greatest Common Factor of 976,889,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,889,533 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 976,889,533 . The biggest common factor number is the GCF number.
So the greatest common factor 976,889,533 is 1.


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 38/976, 836/889, 352/533

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 38/976, 836/889, 352/533?

Answer: LCM of Numerators as per given numbers 38/976, 836/889, 352/533 is

LCM of Numerators i.e. for 38,836,352 is 6688

GCF of denominators i.e. for 976,889,533 is 1.

Thus, LCM of Fractions is 6688.Finally, LCM of Fractions for 38/976, 836/889, 352/533 is 6688.