Least Common Multiple of 29/37, 651/58, 980/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/37, 651/58, 980/560 quickly i.e. 2643060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/37, 651/58, 980/560 is 2643060.

LCM(29/37, 651/58, 980/560) = 2643060

LCM of 29/37, 651/58, 980/560

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 29/37,651/58,980/560

Given numbers are 29/37,651/58,980/560

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 29,651,980

Least Common Multiple of Numerators i.e. LCM of 29,651,980 is 2643060.

GCF of Denominators means GCF of 37,58,560 as per the given fractions.

GCF of 37,58,560 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,651,980

LCM of Fractions 29/37,651/58,980/560 is 2643060

7 29, 651, 980
29, 93, 140

∴ So the LCM of the given numbers is 7 x 29 x 93 x 140 = 2643060

Least Common Multiple of 29,651,980 with GCF Formula

Least Common Multiple of 29,651,980 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 29,651,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,651,980) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(29,651,980) x common factors =1 x 7 = 7

LCM(29,651,980) = ( 29 × 651 × 980 ) / 7

LCM(29,651,980) = 18501420 / 7

LCM(29,651,980) = 2643060


Lets's calculate GCF of 37,58,560

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2643060/1

Therefore the LCM of Fractions 29/37,651/58,980/560 is 2643060

Greatest Common Factor of 37,58,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,58,560 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 58

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

1,2,29,58

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 37,58,560 . The biggest common factor number is the GCF number.
So the greatest common factor 37,58,560 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 29/37, 651/58, 980/560

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 29/37, 651/58, 980/560?

Answer: LCM of Numerators as per given numbers 29/37, 651/58, 980/560 is

LCM of Numerators i.e. for 29,651,980 is 2643060

GCF of denominators i.e. for 37,58,560 is 1.

Thus, LCM of Fractions is 2643060.Finally, LCM of Fractions for 29/37, 651/58, 980/560 is 2643060.