Least Common Multiple of 951/676, 705/526, 910/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 951/676, 705/526, 910/440 quickly i.e. 20337135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 951/676, 705/526, 910/440 is 20337135.

LCM(951/676, 705/526, 910/440) = 20337135

LCM of 951/676, 705/526, 910/440

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 951/676,705/526,910/440

Given numbers are 951/676,705/526,910/440

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 951,705,910

Least Common Multiple of Numerators i.e. LCM of 951,705,910 is 40674270.

GCF of Denominators means GCF of 676,526,440 as per the given fractions.

GCF of 676,526,440 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 951,705,910

LCM of Fractions 951/676,705/526,910/440 is 20337135

3 951, 705, 910
5 317, 235, 910
317, 47, 182

∴ So the LCM of the given numbers is 3 x 5 x 317 x 47 x 182 = 40674270

Least Common Multiple of 951,705,910 with GCF Formula

Least Common Multiple of 951,705,910 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 951,705,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,705,910) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(951,705,910) x common factors =1 x 15 = 15

LCM(951,705,910) = ( 951 × 705 × 910 ) / 15

LCM(951,705,910) = 610114050 / 15

LCM(951,705,910) = 40674270


Lets's calculate GCF of 676,526,440

2 676, 526, 440
338, 263, 220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40674270/2

Therefore the LCM of Fractions 951/676,705/526,910/440 is 20337135

Greatest Common Factor of 676,526,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,526,440 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 676,526,440 . The biggest common factor number is the GCF number.
So the greatest common factor 676,526,440 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 951/676, 705/526, 910/440

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 951/676, 705/526, 910/440?

Answer: LCM of Numerators as per given numbers 951/676, 705/526, 910/440 is

LCM of Numerators i.e. for 951,705,910 is 40674270

GCF of denominators i.e. for 676,526,440 is 2.

Thus, LCM of Fractions is 20337135.Finally, LCM of Fractions for 951/676, 705/526, 910/440 is 20337135.