Least Common Multiple of 34/70, 510/51, 523/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/70, 510/51, 523/949 quickly i.e. 266730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/70, 510/51, 523/949 is 266730.

LCM(34/70, 510/51, 523/949) = 266730

LCM of 34/70, 510/51, 523/949

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 34/70,510/51,523/949

Given numbers are 34/70,510/51,523/949

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 34,510,523

Least Common Multiple of Numerators i.e. LCM of 34,510,523 is 266730.

GCF of Denominators means GCF of 70,51,949 as per the given fractions.

GCF of 70,51,949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,510,523

LCM of Fractions 34/70,510/51,523/949 is 266730

2 34, 510, 523
17 17, 255, 523
1, 15, 523

∴ So the LCM of the given numbers is 2 x 17 x 1 x 15 x 523 = 266730

Least Common Multiple of 34,510,523 with GCF Formula

Least Common Multiple of 34,510,523 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 34,510,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,510,523) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(34,510,523) x common factors =1 x 34 = 34

LCM(34,510,523) = ( 34 × 510 × 523 ) / 34

LCM(34,510,523) = 9068820 / 34

LCM(34,510,523) = 266730


Lets's calculate GCF of 70,51,949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266730/1

Therefore the LCM of Fractions 34/70,510/51,523/949 is 266730

Greatest Common Factor of 70,51,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,51,949 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 70,51,949 . The biggest common factor number is the GCF number.
So the greatest common factor 70,51,949 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 34/70, 510/51, 523/949

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 34/70, 510/51, 523/949?

Answer: LCM of Numerators as per given numbers 34/70, 510/51, 523/949 is

LCM of Numerators i.e. for 34,510,523 is 266730

GCF of denominators i.e. for 70,51,949 is 1.

Thus, LCM of Fractions is 266730.Finally, LCM of Fractions for 34/70, 510/51, 523/949 is 266730.