Least Common Multiple of 970/706, 647/115, 762/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 970/706, 647/115, 762/275 quickly i.e. 239111790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/706, 647/115, 762/275 is 239111790.

LCM(970/706, 647/115, 762/275) = 239111790

LCM of 970/706, 647/115, 762/275

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 970/706,647/115,762/275

Given numbers are 970/706,647/115,762/275

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 970,647,762

Least Common Multiple of Numerators i.e. LCM of 970,647,762 is 239111790.

GCF of Denominators means GCF of 706,115,275 as per the given fractions.

GCF of 706,115,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,647,762

LCM of Fractions 970/706,647/115,762/275 is 239111790

2 970, 647, 762
485, 647, 381

∴ So the LCM of the given numbers is 2 x 485 x 647 x 381 = 239111790

Least Common Multiple of 970,647,762 with GCF Formula

Least Common Multiple of 970,647,762 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 970,647,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,647,762) = 1

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

GCF(970,647,762) x common factors =1 x 2 = 2

LCM(970,647,762) = ( 970 × 647 × 762 ) / 2

LCM(970,647,762) = 478223580 / 2

LCM(970,647,762) = 239111790


Lets's calculate GCF of 706,115,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239111790/1

Therefore the LCM of Fractions 970/706,647/115,762/275 is 239111790

Greatest Common Factor of 706,115,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,115,275 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 706,115,275 . The biggest common factor number is the GCF number.
So the greatest common factor 706,115,275 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 970/706, 647/115, 762/275

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 970/706, 647/115, 762/275?

Answer: LCM of Numerators as per given numbers 970/706, 647/115, 762/275 is

LCM of Numerators i.e. for 970,647,762 is 239111790

GCF of denominators i.e. for 706,115,275 is 1.

Thus, LCM of Fractions is 239111790.Finally, LCM of Fractions for 970/706, 647/115, 762/275 is 239111790.