Least Common Multiple of 58/748, 571/106, 169/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/748, 571/106, 169/216 quickly i.e. 2798471 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/748, 571/106, 169/216 is 2798471.

LCM(58/748, 571/106, 169/216) = 2798471

LCM of 58/748, 571/106, 169/216

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 58/748,571/106,169/216

Given numbers are 58/748,571/106,169/216

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 58,571,169

Least Common Multiple of Numerators i.e. LCM of 58,571,169 is 5596942.

GCF of Denominators means GCF of 748,106,216 as per the given fractions.

GCF of 748,106,216 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,571,169

LCM of Fractions 58/748,571/106,169/216 is 2798471

Given numbers has no common factors except 1. So, there LCM is their product i.e 5596942

Least Common Multiple of 58,571,169 with GCF Formula

Least Common Multiple of 58,571,169 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 58,571,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,571,169) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(58,571,169) x common factors =1 x 1 = 1

LCM(58,571,169) = ( 58 × 571 × 169 ) / 1

LCM(58,571,169) = 5596942 / 1

LCM(58,571,169) = 5596942


Lets's calculate GCF of 748,106,216

2 748, 106, 216
374, 53, 108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5596942/2

Therefore the LCM of Fractions 58/748,571/106,169/216 is 2798471

Greatest Common Factor of 748,106,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,106,216 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 748,106,216 . The biggest common factor number is the GCF number.
So the greatest common factor 748,106,216 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 58/748, 571/106, 169/216

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 58/748, 571/106, 169/216?

Answer: LCM of Numerators as per given numbers 58/748, 571/106, 169/216 is

LCM of Numerators i.e. for 58,571,169 is 5596942

GCF of denominators i.e. for 748,106,216 is 2.

Thus, LCM of Fractions is 2798471.Finally, LCM of Fractions for 58/748, 571/106, 169/216 is 2798471.