Least Common Multiple of 701/40, 108/14, 473/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 701/40, 108/14, 473/428 quickly i.e. 17904942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 701/40, 108/14, 473/428 is 17904942.

LCM(701/40, 108/14, 473/428) = 17904942

LCM of 701/40, 108/14, 473/428

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 701/40,108/14,473/428

Given numbers are 701/40,108/14,473/428

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 701,108,473

Least Common Multiple of Numerators i.e. LCM of 701,108,473 is 35809884.

GCF of Denominators means GCF of 40,14,428 as per the given fractions.

GCF of 40,14,428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 701,108,473

LCM of Fractions 701/40,108/14,473/428 is 17904942

Given numbers has no common factors except 1. So, there LCM is their product i.e 35809884

Least Common Multiple of 701,108,473 with GCF Formula

Least Common Multiple of 701,108,473 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 701,108,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,108,473) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(701,108,473) x common factors =1 x 1 = 1

LCM(701,108,473) = ( 701 × 108 × 473 ) / 1

LCM(701,108,473) = 35809884 / 1

LCM(701,108,473) = 35809884


Lets's calculate GCF of 40,14,428

2 40, 14, 428
20, 7, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35809884/2

Therefore the LCM of Fractions 701/40,108/14,473/428 is 17904942

Greatest Common Factor of 40,14,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,14,428 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 40,14,428 . The biggest common factor number is the GCF number.
So the greatest common factor 40,14,428 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 701/40, 108/14, 473/428

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 701/40, 108/14, 473/428?

Answer: LCM of Numerators as per given numbers 701/40, 108/14, 473/428 is

LCM of Numerators i.e. for 701,108,473 is 35809884

GCF of denominators i.e. for 40,14,428 is 2.

Thus, LCM of Fractions is 17904942.Finally, LCM of Fractions for 701/40, 108/14, 473/428 is 17904942.