Least Common Multiple of 614/58, 922/56, 520/62

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/58, 922/56, 520/62 quickly i.e. 36797020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/58, 922/56, 520/62 is 36797020.

LCM(614/58, 922/56, 520/62) = 36797020

LCM of 614/58, 922/56, 520/62

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 614/58,922/56,520/62

Given numbers are 614/58,922/56,520/62

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 614,922,520

Least Common Multiple of Numerators i.e. LCM of 614,922,520 is 73594040.

GCF of Denominators means GCF of 58,56,62 as per the given fractions.

GCF of 58,56,62 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,922,520

LCM of Fractions 614/58,922/56,520/62 is 36797020

2 614, 922, 520
307, 461, 260

∴ So the LCM of the given numbers is 2 x 307 x 461 x 260 = 73594040

Least Common Multiple of 614,922,520 with GCF Formula

Least Common Multiple of 614,922,520 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 614,922,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,922,520) = 2

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

GCF(614,922,520) x common factors =2 x 2 = 4

LCM(614,922,520) = ( 614 × 922 × 520 ) / 4

LCM(614,922,520) = 294376160 / 4

LCM(614,922,520) = 73594040


Lets's calculate GCF of 58,56,62

2 58, 56, 62
29, 28, 31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73594040/2

Therefore the LCM of Fractions 614/58,922/56,520/62 is 36797020

Greatest Common Factor of 58,56,62 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,56,62 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Greatest Common Factor

We found the factors 58,56,62 . The biggest common factor number is the GCF number.
So the greatest common factor 58,56,62 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 614/58, 922/56, 520/62

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 614/58, 922/56, 520/62?

Answer: LCM of Numerators as per given numbers 614/58, 922/56, 520/62 is

LCM of Numerators i.e. for 614,922,520 is 73594040

GCF of denominators i.e. for 58,56,62 is 2.

Thus, LCM of Fractions is 36797020.Finally, LCM of Fractions for 614/58, 922/56, 520/62 is 36797020.