Least Common Multiple of 61/601, 986/630, 562/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/601, 986/630, 562/736 quickly i.e. 16901026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/601, 986/630, 562/736 is 16901026.

LCM(61/601, 986/630, 562/736) = 16901026

LCM of 61/601, 986/630, 562/736

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 61/601,986/630,562/736

Given numbers are 61/601,986/630,562/736

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 61,986,562

Least Common Multiple of Numerators i.e. LCM of 61,986,562 is 16901026.

GCF of Denominators means GCF of 601,630,736 as per the given fractions.

GCF of 601,630,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,986,562

LCM of Fractions 61/601,986/630,562/736 is 16901026

2 61, 986, 562
61, 493, 281

∴ So the LCM of the given numbers is 2 x 61 x 493 x 281 = 16901026

Least Common Multiple of 61,986,562 with GCF Formula

Least Common Multiple of 61,986,562 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 61,986,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,986,562) = 1

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

GCF(61,986,562) x common factors =1 x 2 = 2

LCM(61,986,562) = ( 61 × 986 × 562 ) / 2

LCM(61,986,562) = 33802052 / 2

LCM(61,986,562) = 16901026


Lets's calculate GCF of 601,630,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16901026/1

Therefore the LCM of Fractions 61/601,986/630,562/736 is 16901026

Greatest Common Factor of 601,630,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,630,736 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 601,630,736 . The biggest common factor number is the GCF number.
So the greatest common factor 601,630,736 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 61/601, 986/630, 562/736

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 61/601, 986/630, 562/736?

Answer: LCM of Numerators as per given numbers 61/601, 986/630, 562/736 is

LCM of Numerators i.e. for 61,986,562 is 16901026

GCF of denominators i.e. for 601,630,736 is 1.

Thus, LCM of Fractions is 16901026.Finally, LCM of Fractions for 61/601, 986/630, 562/736 is 16901026.