Least Common Multiple of 974/72, 614/35, 250/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 974/72, 614/35, 250/109 quickly i.e. 37377250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/72, 614/35, 250/109 is 37377250.

LCM(974/72, 614/35, 250/109) = 37377250

LCM of 974/72, 614/35, 250/109

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 974/72,614/35,250/109

Given numbers are 974/72,614/35,250/109

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 974,614,250

Least Common Multiple of Numerators i.e. LCM of 974,614,250 is 37377250.

GCF of Denominators means GCF of 72,35,109 as per the given fractions.

GCF of 72,35,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,614,250

LCM of Fractions 974/72,614/35,250/109 is 37377250

2 974, 614, 250
487, 307, 125

∴ So the LCM of the given numbers is 2 x 487 x 307 x 125 = 37377250

Least Common Multiple of 974,614,250 with GCF Formula

Least Common Multiple of 974,614,250 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 974,614,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,614,250) = 2

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

GCF(974,614,250) x common factors =2 x 2 = 4

LCM(974,614,250) = ( 974 × 614 × 250 ) / 4

LCM(974,614,250) = 149509000 / 4

LCM(974,614,250) = 37377250


Lets's calculate GCF of 72,35,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37377250/1

Therefore the LCM of Fractions 974/72,614/35,250/109 is 37377250

Greatest Common Factor of 72,35,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,35,109 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 72,35,109 . The biggest common factor number is the GCF number.
So the greatest common factor 72,35,109 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 974/72, 614/35, 250/109

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 974/72, 614/35, 250/109?

Answer: LCM of Numerators as per given numbers 974/72, 614/35, 250/109 is

LCM of Numerators i.e. for 974,614,250 is 37377250

GCF of denominators i.e. for 72,35,109 is 1.

Thus, LCM of Fractions is 37377250.Finally, LCM of Fractions for 974/72, 614/35, 250/109 is 37377250.