Least Common Multiple of 828/954, 165/708, 636/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/954, 165/708, 636/930 quickly i.e. 402270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/954, 165/708, 636/930 is 402270.

LCM(828/954, 165/708, 636/930) = 402270

LCM of 828/954, 165/708, 636/930

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 828/954,165/708,636/930

Given numbers are 828/954,165/708,636/930

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 828,165,636

Least Common Multiple of Numerators i.e. LCM of 828,165,636 is 2413620.

GCF of Denominators means GCF of 954,708,930 as per the given fractions.

GCF of 954,708,930 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,165,636

LCM of Fractions 828/954,165/708,636/930 is 402270

2 828, 165, 636
2 414, 165, 318
3 207, 165, 159
69, 55, 53

∴ So the LCM of the given numbers is 2 x 2 x 3 x 69 x 55 x 53 = 2413620

Least Common Multiple of 828,165,636 with GCF Formula

Least Common Multiple of 828,165,636 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 828,165,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,165,636) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(828,165,636) x common factors =3 x 12 = 36

LCM(828,165,636) = ( 828 × 165 × 636 ) / 36

LCM(828,165,636) = 86890320 / 36

LCM(828,165,636) = 2413620


Lets's calculate GCF of 954,708,930

2 954, 708, 930
3 477, 354, 465
159, 118, 155

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2413620/6

Therefore the LCM of Fractions 828/954,165/708,636/930 is 402270

Greatest Common Factor of 954,708,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,708,930 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 954,708,930 . The biggest common factor number is the GCF number.
So the greatest common factor 954,708,930 is 6.


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 828/954, 165/708, 636/930

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 828/954, 165/708, 636/930?

Answer: LCM of Numerators as per given numbers 828/954, 165/708, 636/930 is

LCM of Numerators i.e. for 828,165,636 is 2413620

GCF of denominators i.e. for 954,708,930 is 6.

Thus, LCM of Fractions is 402270.Finally, LCM of Fractions for 828/954, 165/708, 636/930 is 402270.