Least Common Multiple of 53/234, 70/950, 834/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/234, 70/950, 834/910 quickly i.e. 773535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/234, 70/950, 834/910 is 773535.

LCM(53/234, 70/950, 834/910) = 773535

LCM of 53/234, 70/950, 834/910

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 53/234,70/950,834/910

Given numbers are 53/234,70/950,834/910

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 53,70,834

Least Common Multiple of Numerators i.e. LCM of 53,70,834 is 1547070.

GCF of Denominators means GCF of 234,950,910 as per the given fractions.

GCF of 234,950,910 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,70,834

LCM of Fractions 53/234,70/950,834/910 is 773535

2 53, 70, 834
53, 35, 417

∴ So the LCM of the given numbers is 2 x 53 x 35 x 417 = 1547070

Least Common Multiple of 53,70,834 with GCF Formula

Least Common Multiple of 53,70,834 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 53,70,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,70,834) = 1

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

GCF(53,70,834) x common factors =1 x 2 = 2

LCM(53,70,834) = ( 53 × 70 × 834 ) / 2

LCM(53,70,834) = 3094140 / 2

LCM(53,70,834) = 1547070


Lets's calculate GCF of 234,950,910

2 234, 950, 910
117, 475, 455

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1547070/2

Therefore the LCM of Fractions 53/234,70/950,834/910 is 773535

Greatest Common Factor of 234,950,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,950,910 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 234,950,910 . The biggest common factor number is the GCF number.
So the greatest common factor 234,950,910 is 2.


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 53/234, 70/950, 834/910

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 53/234, 70/950, 834/910?

Answer: LCM of Numerators as per given numbers 53/234, 70/950, 834/910 is

LCM of Numerators i.e. for 53,70,834 is 1547070

GCF of denominators i.e. for 234,950,910 is 2.

Thus, LCM of Fractions is 773535.Finally, LCM of Fractions for 53/234, 70/950, 834/910 is 773535.