Least Common Multiple of 67/61, 630/10, 374/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/61, 630/10, 374/706 quickly i.e. 7893270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/61, 630/10, 374/706 is 7893270.

LCM(67/61, 630/10, 374/706) = 7893270

LCM of 67/61, 630/10, 374/706

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 67/61,630/10,374/706

Given numbers are 67/61,630/10,374/706

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 67,630,374

Least Common Multiple of Numerators i.e. LCM of 67,630,374 is 7893270.

GCF of Denominators means GCF of 61,10,706 as per the given fractions.

GCF of 61,10,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,630,374

LCM of Fractions 67/61,630/10,374/706 is 7893270

2 67, 630, 374
67, 315, 187

∴ So the LCM of the given numbers is 2 x 67 x 315 x 187 = 7893270

Least Common Multiple of 67,630,374 with GCF Formula

Least Common Multiple of 67,630,374 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 67,630,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,630,374) = 1

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

GCF(67,630,374) x common factors =1 x 2 = 2

LCM(67,630,374) = ( 67 × 630 × 374 ) / 2

LCM(67,630,374) = 15786540 / 2

LCM(67,630,374) = 7893270


Lets's calculate GCF of 61,10,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7893270/1

Therefore the LCM of Fractions 67/61,630/10,374/706 is 7893270

Greatest Common Factor of 61,10,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,10,706 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 61,10,706 . The biggest common factor number is the GCF number.
So the greatest common factor 61,10,706 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 67/61, 630/10, 374/706

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 67/61, 630/10, 374/706?

Answer: LCM of Numerators as per given numbers 67/61, 630/10, 374/706 is

LCM of Numerators i.e. for 67,630,374 is 7893270

GCF of denominators i.e. for 61,10,706 is 1.

Thus, LCM of Fractions is 7893270.Finally, LCM of Fractions for 67/61, 630/10, 374/706 is 7893270.