Least Common Multiple of 80/105, 644/312, 875/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/105, 644/312, 875/148 quickly i.e. 322000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/105, 644/312, 875/148 is 322000.

LCM(80/105, 644/312, 875/148) = 322000

LCM of 80/105, 644/312, 875/148

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 80/105,644/312,875/148

Given numbers are 80/105,644/312,875/148

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 80,644,875

Least Common Multiple of Numerators i.e. LCM of 80,644,875 is 322000.

GCF of Denominators means GCF of 105,312,148 as per the given fractions.

GCF of 105,312,148 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,644,875

LCM of Fractions 80/105,644/312,875/148 is 322000

2 80, 644, 875
2 40, 322, 875
5 20, 161, 875
7 4, 161, 175
4, 23, 25

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 4 x 23 x 25 = 322000

Least Common Multiple of 80,644,875 with GCF Formula

Least Common Multiple of 80,644,875 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 80,644,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,644,875) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(80,644,875) x common factors =1 x 140 = 140

LCM(80,644,875) = ( 80 × 644 × 875 ) / 140

LCM(80,644,875) = 45080000 / 140

LCM(80,644,875) = 322000


Lets's calculate GCF of 105,312,148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322000/1

Therefore the LCM of Fractions 80/105,644/312,875/148 is 322000

Greatest Common Factor of 105,312,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,312,148 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 105,312,148 . The biggest common factor number is the GCF number.
So the greatest common factor 105,312,148 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 80/105, 644/312, 875/148

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 80/105, 644/312, 875/148?

Answer: LCM of Numerators as per given numbers 80/105, 644/312, 875/148 is

LCM of Numerators i.e. for 80,644,875 is 322000

GCF of denominators i.e. for 105,312,148 is 1.

Thus, LCM of Fractions is 322000.Finally, LCM of Fractions for 80/105, 644/312, 875/148 is 322000.