Least Common Multiple of 76/462, 676/759, 842/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/462, 676/759, 842/154 quickly i.e. 5407324/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/462, 676/759, 842/154 is 5407324/11.

LCM(76/462, 676/759, 842/154) = 5407324/11

LCM of 76/462, 676/759, 842/154

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 76/462,676/759,842/154

Given numbers are 76/462,676/759,842/154

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 76,676,842

Least Common Multiple of Numerators i.e. LCM of 76,676,842 is 5407324.

GCF of Denominators means GCF of 462,759,154 as per the given fractions.

GCF of 462,759,154 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,676,842

LCM of Fractions 76/462,676/759,842/154 is 5407324/11

2 76, 676, 842
2 38, 338, 421
19, 169, 421

∴ So the LCM of the given numbers is 2 x 2 x 19 x 169 x 421 = 5407324

Least Common Multiple of 76,676,842 with GCF Formula

Least Common Multiple of 76,676,842 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 76,676,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,676,842) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(76,676,842) x common factors =2 x 4 = 8

LCM(76,676,842) = ( 76 × 676 × 842 ) / 8

LCM(76,676,842) = 43258592 / 8

LCM(76,676,842) = 5407324


Lets's calculate GCF of 462,759,154

11 462, 759, 154
42, 69, 14

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5407324/11

Therefore the LCM of Fractions 76/462,676/759,842/154 is 5407324/11

Greatest Common Factor of 462,759,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,759,154 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 462,759,154 . The biggest common factor number is the GCF number.
So the greatest common factor 462,759,154 is 11.


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 76/462, 676/759, 842/154

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 76/462, 676/759, 842/154?

Answer: LCM of Numerators as per given numbers 76/462, 676/759, 842/154 is

LCM of Numerators i.e. for 76,676,842 is 5407324

GCF of denominators i.e. for 462,759,154 is 11.

Thus, LCM of Fractions is 5407324/11.Finally, LCM of Fractions for 76/462, 676/759, 842/154 is 5407324/11.