Least Common Multiple of 84/929, 108/62, 407/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/929, 108/62, 407/370 quickly i.e. 307692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/929, 108/62, 407/370 is 307692.

LCM(84/929, 108/62, 407/370) = 307692

LCM of 84/929, 108/62, 407/370

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 84/929,108/62,407/370

Given numbers are 84/929,108/62,407/370

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 84,108,407

Least Common Multiple of Numerators i.e. LCM of 84,108,407 is 307692.

GCF of Denominators means GCF of 929,62,370 as per the given fractions.

GCF of 929,62,370 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,108,407

LCM of Fractions 84/929,108/62,407/370 is 307692

2 84, 108, 407
2 42, 54, 407
3 21, 27, 407
7, 9, 407

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 9 x 407 = 307692

Least Common Multiple of 84,108,407 with GCF Formula

Least Common Multiple of 84,108,407 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 84,108,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,108,407) = 1

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

GCF(84,108,407) x common factors =1 x 12 = 12

LCM(84,108,407) = ( 84 × 108 × 407 ) / 12

LCM(84,108,407) = 3692304 / 12

LCM(84,108,407) = 307692


Lets's calculate GCF of 929,62,370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307692/1

Therefore the LCM of Fractions 84/929,108/62,407/370 is 307692

Greatest Common Factor of 929,62,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,62,370 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 929,62,370 . The biggest common factor number is the GCF number.
So the greatest common factor 929,62,370 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 84/929, 108/62, 407/370

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 84/929, 108/62, 407/370?

Answer: LCM of Numerators as per given numbers 84/929, 108/62, 407/370 is

LCM of Numerators i.e. for 84,108,407 is 307692

GCF of denominators i.e. for 929,62,370 is 1.

Thus, LCM of Fractions is 307692.Finally, LCM of Fractions for 84/929, 108/62, 407/370 is 307692.