Least Common Multiple of 43/840, 750/510, 372/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/840, 750/510, 372/164 quickly i.e. 999750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/840, 750/510, 372/164 is 999750.

LCM(43/840, 750/510, 372/164) = 999750

LCM of 43/840, 750/510, 372/164

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 43/840,750/510,372/164

Given numbers are 43/840,750/510,372/164

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 43,750,372

Least Common Multiple of Numerators i.e. LCM of 43,750,372 is 1999500.

GCF of Denominators means GCF of 840,510,164 as per the given fractions.

GCF of 840,510,164 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,750,372

LCM of Fractions 43/840,750/510,372/164 is 999750

2 43, 750, 372
3 43, 375, 186
43, 125, 62

∴ So the LCM of the given numbers is 2 x 3 x 43 x 125 x 62 = 1999500

Least Common Multiple of 43,750,372 with GCF Formula

Least Common Multiple of 43,750,372 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 43,750,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,750,372) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(43,750,372) x common factors =1 x 6 = 6

LCM(43,750,372) = ( 43 × 750 × 372 ) / 6

LCM(43,750,372) = 11997000 / 6

LCM(43,750,372) = 1999500


Lets's calculate GCF of 840,510,164

2 840, 510, 164
420, 255, 82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1999500/2

Therefore the LCM of Fractions 43/840,750/510,372/164 is 999750

Greatest Common Factor of 840,510,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,510,164 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 840,510,164 . The biggest common factor number is the GCF number.
So the greatest common factor 840,510,164 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 43/840, 750/510, 372/164

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 43/840, 750/510, 372/164?

Answer: LCM of Numerators as per given numbers 43/840, 750/510, 372/164 is

LCM of Numerators i.e. for 43,750,372 is 1999500

GCF of denominators i.e. for 840,510,164 is 2.

Thus, LCM of Fractions is 999750.Finally, LCM of Fractions for 43/840, 750/510, 372/164 is 999750.