Least Common Multiple of 418/708, 200/954, 594/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 418/708, 200/954, 594/308 quickly i.e. 564300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 418/708, 200/954, 594/308 is 564300.

LCM(418/708, 200/954, 594/308) = 564300

LCM of 418/708, 200/954, 594/308

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 418/708,200/954,594/308

Given numbers are 418/708,200/954,594/308

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 418,200,594

Least Common Multiple of Numerators i.e. LCM of 418,200,594 is 1128600.

GCF of Denominators means GCF of 708,954,308 as per the given fractions.

GCF of 708,954,308 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 418,200,594

LCM of Fractions 418/708,200/954,594/308 is 564300

2 418, 200, 594
11 209, 100, 297
19, 100, 27

∴ So the LCM of the given numbers is 2 x 11 x 19 x 100 x 27 = 1128600

Least Common Multiple of 418,200,594 with GCF Formula

Least Common Multiple of 418,200,594 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 418,200,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,200,594) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(418,200,594) x common factors =2 x 22 = 44

LCM(418,200,594) = ( 418 × 200 × 594 ) / 44

LCM(418,200,594) = 49658400 / 44

LCM(418,200,594) = 1128600


Lets's calculate GCF of 708,954,308

2 708, 954, 308
354, 477, 154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1128600/2

Therefore the LCM of Fractions 418/708,200/954,594/308 is 564300

Greatest Common Factor of 708,954,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,954,308 By Matching Biggest Common Factor Method

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 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 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 708,954,308 . The biggest common factor number is the GCF number.
So the greatest common factor 708,954,308 is 2.


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 418/708, 200/954, 594/308

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 418/708, 200/954, 594/308?

Answer: LCM of Numerators as per given numbers 418/708, 200/954, 594/308 is

LCM of Numerators i.e. for 418,200,594 is 1128600

GCF of denominators i.e. for 708,954,308 is 2.

Thus, LCM of Fractions is 564300.Finally, LCM of Fractions for 418/708, 200/954, 594/308 is 564300.