Least Common Multiple of 34/670, 24/724, 950/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 34/670, 24/724, 950/265 quickly i.e. 193800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/670, 24/724, 950/265 is 193800.

LCM(34/670, 24/724, 950/265) = 193800

LCM of 34/670, 24/724, 950/265

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 34/670,24/724,950/265

Given numbers are 34/670,24/724,950/265

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 34,24,950

Least Common Multiple of Numerators i.e. LCM of 34,24,950 is 193800.

GCF of Denominators means GCF of 670,724,265 as per the given fractions.

GCF of 670,724,265 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,24,950

LCM of Fractions 34/670,24/724,950/265 is 193800

2 34, 24, 950
17, 12, 475

∴ So the LCM of the given numbers is 2 x 17 x 12 x 475 = 193800

Least Common Multiple of 34,24,950 with GCF Formula

Least Common Multiple of 34,24,950 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 34,24,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,24,950) = 2

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

GCF(34,24,950) x common factors =2 x 2 = 4

LCM(34,24,950) = ( 34 × 24 × 950 ) / 4

LCM(34,24,950) = 775200 / 4

LCM(34,24,950) = 193800


Lets's calculate GCF of 670,724,265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193800/1

Therefore the LCM of Fractions 34/670,24/724,950/265 is 193800

Greatest Common Factor of 670,724,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,724,265 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 670,724,265 . The biggest common factor number is the GCF number.
So the greatest common factor 670,724,265 is 1.


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Frequently Asked Questions on Fractional LCM of 34/670, 24/724, 950/265

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 34/670, 24/724, 950/265?

Answer: LCM of Numerators as per given numbers 34/670, 24/724, 950/265 is

LCM of Numerators i.e. for 34,24,950 is 193800

GCF of denominators i.e. for 670,724,265 is 1.

Thus, LCM of Fractions is 193800.Finally, LCM of Fractions for 34/670, 24/724, 950/265 is 193800.