Least Common Multiple of 66/602, 332/875, 348/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/602, 332/875, 348/318 quickly i.e. 317724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/602, 332/875, 348/318 is 317724.

LCM(66/602, 332/875, 348/318) = 317724

LCM of 66/602, 332/875, 348/318

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 66/602,332/875,348/318

Given numbers are 66/602,332/875,348/318

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 66,332,348

Least Common Multiple of Numerators i.e. LCM of 66,332,348 is 317724.

GCF of Denominators means GCF of 602,875,318 as per the given fractions.

GCF of 602,875,318 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,332,348

LCM of Fractions 66/602,332/875,348/318 is 317724

2 66, 332, 348
2 33, 166, 174
3 33, 83, 87
11, 83, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 83 x 29 = 317724

Least Common Multiple of 66,332,348 with GCF Formula

Least Common Multiple of 66,332,348 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 66,332,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,332,348) = 2

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

GCF(66,332,348) x common factors =2 x 12 = 24

LCM(66,332,348) = ( 66 × 332 × 348 ) / 24

LCM(66,332,348) = 7625376 / 24

LCM(66,332,348) = 317724


Lets's calculate GCF of 602,875,318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317724/1

Therefore the LCM of Fractions 66/602,332/875,348/318 is 317724

Greatest Common Factor of 602,875,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,875,318 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 602,875,318 . The biggest common factor number is the GCF number.
So the greatest common factor 602,875,318 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 66/602, 332/875, 348/318

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 66/602, 332/875, 348/318?

Answer: LCM of Numerators as per given numbers 66/602, 332/875, 348/318 is

LCM of Numerators i.e. for 66,332,348 is 317724

GCF of denominators i.e. for 602,875,318 is 1.

Thus, LCM of Fractions is 317724.Finally, LCM of Fractions for 66/602, 332/875, 348/318 is 317724.