Least Common Multiple of 34/62, 92/74, 922/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/62, 92/74, 922/417 quickly i.e. 721004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/62, 92/74, 922/417 is 721004.

LCM(34/62, 92/74, 922/417) = 721004

LCM of 34/62, 92/74, 922/417

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 34/62,92/74,922/417

Given numbers are 34/62,92/74,922/417

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 34,92,922

Least Common Multiple of Numerators i.e. LCM of 34,92,922 is 721004.

GCF of Denominators means GCF of 62,74,417 as per the given fractions.

GCF of 62,74,417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,92,922

LCM of Fractions 34/62,92/74,922/417 is 721004

2 34, 92, 922
17, 46, 461

∴ So the LCM of the given numbers is 2 x 17 x 46 x 461 = 721004

Least Common Multiple of 34,92,922 with GCF Formula

Least Common Multiple of 34,92,922 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 34,92,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,92,922) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(34,92,922) x common factors =2 x 2 = 4

LCM(34,92,922) = ( 34 × 92 × 922 ) / 4

LCM(34,92,922) = 2884016 / 4

LCM(34,92,922) = 721004


Lets's calculate GCF of 62,74,417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 721004/1

Therefore the LCM of Fractions 34/62,92/74,922/417 is 721004

Greatest Common Factor of 62,74,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,74,417 By Matching Biggest Common Factor Method

Factors of 62

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

1,2,31,62

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 62,74,417 . The biggest common factor number is the GCF number.
So the greatest common factor 62,74,417 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 34/62, 92/74, 922/417

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 34/62, 92/74, 922/417?

Answer: LCM of Numerators as per given numbers 34/62, 92/74, 922/417 is

LCM of Numerators i.e. for 34,92,922 is 721004

GCF of denominators i.e. for 62,74,417 is 1.

Thus, LCM of Fractions is 721004.Finally, LCM of Fractions for 34/62, 92/74, 922/417 is 721004.