Least Common Multiple of 975/32, 175/70, 912/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 975/32, 175/70, 912/670 quickly i.e. 1037400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 975/32, 175/70, 912/670 is 1037400.

LCM(975/32, 175/70, 912/670) = 1037400

LCM of 975/32, 175/70, 912/670

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 975/32,175/70,912/670

Given numbers are 975/32,175/70,912/670

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 975,175,912

Least Common Multiple of Numerators i.e. LCM of 975,175,912 is 2074800.

GCF of Denominators means GCF of 32,70,670 as per the given fractions.

GCF of 32,70,670 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 975,175,912

LCM of Fractions 975/32,175/70,912/670 is 1037400

3 975, 175, 912
5 325, 175, 304
5 65, 35, 304
13, 7, 304

∴ So the LCM of the given numbers is 3 x 5 x 5 x 13 x 7 x 304 = 2074800

Least Common Multiple of 975,175,912 with GCF Formula

Least Common Multiple of 975,175,912 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 975,175,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,175,912) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(975,175,912) x common factors =1 x 75 = 75

LCM(975,175,912) = ( 975 × 175 × 912 ) / 75

LCM(975,175,912) = 155610000 / 75

LCM(975,175,912) = 2074800


Lets's calculate GCF of 32,70,670

2 32, 70, 670
16, 35, 335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2074800/2

Therefore the LCM of Fractions 975/32,175/70,912/670 is 1037400

Greatest Common Factor of 32,70,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,70,670 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

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 670

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

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

Greatest Common Factor

We found the factors 32,70,670 . The biggest common factor number is the GCF number.
So the greatest common factor 32,70,670 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 975/32, 175/70, 912/670

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 975/32, 175/70, 912/670?

Answer: LCM of Numerators as per given numbers 975/32, 175/70, 912/670 is

LCM of Numerators i.e. for 975,175,912 is 2074800

GCF of denominators i.e. for 32,70,670 is 2.

Thus, LCM of Fractions is 1037400.Finally, LCM of Fractions for 975/32, 175/70, 912/670 is 1037400.