Least Common Multiple of 76/382, 798/488, 534/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/382, 798/488, 534/709 quickly i.e. 142044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/382, 798/488, 534/709 is 142044.

LCM(76/382, 798/488, 534/709) = 142044

LCM of 76/382, 798/488, 534/709

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 76/382,798/488,534/709

Given numbers are 76/382,798/488,534/709

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 76,798,534

Least Common Multiple of Numerators i.e. LCM of 76,798,534 is 142044.

GCF of Denominators means GCF of 382,488,709 as per the given fractions.

GCF of 382,488,709 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,798,534

LCM of Fractions 76/382,798/488,534/709 is 142044

2 76, 798, 534
3 38, 399, 267
19 38, 133, 89
2, 7, 89

∴ So the LCM of the given numbers is 2 x 3 x 19 x 2 x 7 x 89 = 142044

Least Common Multiple of 76,798,534 with GCF Formula

Least Common Multiple of 76,798,534 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 76,798,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,798,534) = 2

common factors(in case of two or more numbers have common factors) = 114

GCF(76,798,534) x common factors =2 x 114 = 228

LCM(76,798,534) = ( 76 × 798 × 534 ) / 228

LCM(76,798,534) = 32386032 / 228

LCM(76,798,534) = 142044


Lets's calculate GCF of 382,488,709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142044/1

Therefore the LCM of Fractions 76/382,798/488,534/709 is 142044

Greatest Common Factor of 382,488,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,488,709 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

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

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 382,488,709 . The biggest common factor number is the GCF number.
So the greatest common factor 382,488,709 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 76/382, 798/488, 534/709

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 76/382, 798/488, 534/709?

Answer: LCM of Numerators as per given numbers 76/382, 798/488, 534/709 is

LCM of Numerators i.e. for 76,798,534 is 142044

GCF of denominators i.e. for 382,488,709 is 1.

Thus, LCM of Fractions is 142044.Finally, LCM of Fractions for 76/382, 798/488, 534/709 is 142044.