Least Common Multiple of 407/15, 701/34, 748/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/15, 701/34, 748/108 quickly i.e. 19400876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/15, 701/34, 748/108 is 19400876.

LCM(407/15, 701/34, 748/108) = 19400876

LCM of 407/15, 701/34, 748/108

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 407/15,701/34,748/108

Given numbers are 407/15,701/34,748/108

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 407,701,748

Least Common Multiple of Numerators i.e. LCM of 407,701,748 is 19400876.

GCF of Denominators means GCF of 15,34,108 as per the given fractions.

GCF of 15,34,108 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,701,748

LCM of Fractions 407/15,701/34,748/108 is 19400876

11 407, 701, 748
37, 701, 68

∴ So the LCM of the given numbers is 11 x 37 x 701 x 68 = 19400876

Least Common Multiple of 407,701,748 with GCF Formula

Least Common Multiple of 407,701,748 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 407,701,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,701,748) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(407,701,748) x common factors =1 x 11 = 11

LCM(407,701,748) = ( 407 × 701 × 748 ) / 11

LCM(407,701,748) = 213409636 / 11

LCM(407,701,748) = 19400876


Lets's calculate GCF of 15,34,108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19400876/1

Therefore the LCM of Fractions 407/15,701/34,748/108 is 19400876

Greatest Common Factor of 15,34,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,34,108 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 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 15,34,108 . The biggest common factor number is the GCF number.
So the greatest common factor 15,34,108 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 407/15, 701/34, 748/108

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 407/15, 701/34, 748/108?

Answer: LCM of Numerators as per given numbers 407/15, 701/34, 748/108 is

LCM of Numerators i.e. for 407,701,748 is 19400876

GCF of denominators i.e. for 15,34,108 is 1.

Thus, LCM of Fractions is 19400876.Finally, LCM of Fractions for 407/15, 701/34, 748/108 is 19400876.