Least Common Multiple of 707/15, 111/67, 476/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 707/15, 111/67, 476/238 quickly i.e. 5336436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 707/15, 111/67, 476/238 is 5336436.

LCM(707/15, 111/67, 476/238) = 5336436

LCM of 707/15, 111/67, 476/238

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 707/15,111/67,476/238

Given numbers are 707/15,111/67,476/238

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 707,111,476

Least Common Multiple of Numerators i.e. LCM of 707,111,476 is 5336436.

GCF of Denominators means GCF of 15,67,238 as per the given fractions.

GCF of 15,67,238 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 707,111,476

LCM of Fractions 707/15,111/67,476/238 is 5336436

7 707, 111, 476
101, 111, 68

∴ So the LCM of the given numbers is 7 x 101 x 111 x 68 = 5336436

Least Common Multiple of 707,111,476 with GCF Formula

Least Common Multiple of 707,111,476 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 707,111,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,111,476) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(707,111,476) x common factors =1 x 7 = 7

LCM(707,111,476) = ( 707 × 111 × 476 ) / 7

LCM(707,111,476) = 37355052 / 7

LCM(707,111,476) = 5336436


Lets's calculate GCF of 15,67,238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5336436/1

Therefore the LCM of Fractions 707/15,111/67,476/238 is 5336436

Greatest Common Factor of 15,67,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,67,238 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 15,67,238 . The biggest common factor number is the GCF number.
So the greatest common factor 15,67,238 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 707/15, 111/67, 476/238

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 707/15, 111/67, 476/238?

Answer: LCM of Numerators as per given numbers 707/15, 111/67, 476/238 is

LCM of Numerators i.e. for 707,111,476 is 5336436

GCF of denominators i.e. for 15,67,238 is 1.

Thus, LCM of Fractions is 5336436.Finally, LCM of Fractions for 707/15, 111/67, 476/238 is 5336436.