Least Common Multiple of 34/782, 348/872, 375/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/782, 348/872, 375/218 quickly i.e. 369750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/782, 348/872, 375/218 is 369750.

LCM(34/782, 348/872, 375/218) = 369750

LCM of 34/782, 348/872, 375/218

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 34/782,348/872,375/218

Given numbers are 34/782,348/872,375/218

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 34,348,375

Least Common Multiple of Numerators i.e. LCM of 34,348,375 is 739500.

GCF of Denominators means GCF of 782,872,218 as per the given fractions.

GCF of 782,872,218 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,348,375

LCM of Fractions 34/782,348/872,375/218 is 369750

2 34, 348, 375
3 17, 174, 375
17, 58, 125

∴ So the LCM of the given numbers is 2 x 3 x 17 x 58 x 125 = 739500

Least Common Multiple of 34,348,375 with GCF Formula

Least Common Multiple of 34,348,375 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 34,348,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,348,375) = 1

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

GCF(34,348,375) x common factors =1 x 6 = 6

LCM(34,348,375) = ( 34 × 348 × 375 ) / 6

LCM(34,348,375) = 4437000 / 6

LCM(34,348,375) = 739500


Lets's calculate GCF of 782,872,218

2 782, 872, 218
391, 436, 109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 739500/2

Therefore the LCM of Fractions 34/782,348/872,375/218 is 369750

Greatest Common Factor of 782,872,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,872,218 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 782,872,218 . The biggest common factor number is the GCF number.
So the greatest common factor 782,872,218 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 34/782, 348/872, 375/218

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 34/782, 348/872, 375/218?

Answer: LCM of Numerators as per given numbers 34/782, 348/872, 375/218 is

LCM of Numerators i.e. for 34,348,375 is 739500

GCF of denominators i.e. for 782,872,218 is 2.

Thus, LCM of Fractions is 369750.Finally, LCM of Fractions for 34/782, 348/872, 375/218 is 369750.