Least Common Multiple of 349/62, 826/89, 538/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 349/62, 826/89, 538/752 quickly i.e. 77545706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/62, 826/89, 538/752 is 77545706.

LCM(349/62, 826/89, 538/752) = 77545706

LCM of 349/62, 826/89, 538/752

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 349/62,826/89,538/752

Given numbers are 349/62,826/89,538/752

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 349,826,538

Least Common Multiple of Numerators i.e. LCM of 349,826,538 is 77545706.

GCF of Denominators means GCF of 62,89,752 as per the given fractions.

GCF of 62,89,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,826,538

LCM of Fractions 349/62,826/89,538/752 is 77545706

2 349, 826, 538
349, 413, 269

∴ So the LCM of the given numbers is 2 x 349 x 413 x 269 = 77545706

Least Common Multiple of 349,826,538 with GCF Formula

Least Common Multiple of 349,826,538 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 349,826,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,826,538) = 1

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

GCF(349,826,538) x common factors =1 x 2 = 2

LCM(349,826,538) = ( 349 × 826 × 538 ) / 2

LCM(349,826,538) = 155091412 / 2

LCM(349,826,538) = 77545706


Lets's calculate GCF of 62,89,752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77545706/1

Therefore the LCM of Fractions 349/62,826/89,538/752 is 77545706

Greatest Common Factor of 62,89,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,89,752 By Matching Biggest Common Factor Method

Factors of 62

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

1,2,31,62

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 62,89,752 . The biggest common factor number is the GCF number.
So the greatest common factor 62,89,752 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 349/62, 826/89, 538/752

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 349/62, 826/89, 538/752?

Answer: LCM of Numerators as per given numbers 349/62, 826/89, 538/752 is

LCM of Numerators i.e. for 349,826,538 is 77545706

GCF of denominators i.e. for 62,89,752 is 1.

Thus, LCM of Fractions is 77545706.Finally, LCM of Fractions for 349/62, 826/89, 538/752 is 77545706.