Least Common Multiple of 34/153, 835/271, 780/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/153, 835/271, 780/991 quickly i.e. 2214420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/153, 835/271, 780/991 is 2214420.

LCM(34/153, 835/271, 780/991) = 2214420

LCM of 34/153, 835/271, 780/991

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 34/153,835/271,780/991

Given numbers are 34/153,835/271,780/991

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 34,835,780

Least Common Multiple of Numerators i.e. LCM of 34,835,780 is 2214420.

GCF of Denominators means GCF of 153,271,991 as per the given fractions.

GCF of 153,271,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,835,780

LCM of Fractions 34/153,835/271,780/991 is 2214420

2 34, 835, 780
5 17, 835, 390
17, 167, 78

∴ So the LCM of the given numbers is 2 x 5 x 17 x 167 x 78 = 2214420

Least Common Multiple of 34,835,780 with GCF Formula

Least Common Multiple of 34,835,780 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 34,835,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,835,780) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(34,835,780) x common factors =1 x 10 = 10

LCM(34,835,780) = ( 34 × 835 × 780 ) / 10

LCM(34,835,780) = 22144200 / 10

LCM(34,835,780) = 2214420


Lets's calculate GCF of 153,271,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2214420/1

Therefore the LCM of Fractions 34/153,835/271,780/991 is 2214420

Greatest Common Factor of 153,271,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,271,991 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 153,271,991 . The biggest common factor number is the GCF number.
So the greatest common factor 153,271,991 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 34/153, 835/271, 780/991

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 34/153, 835/271, 780/991?

Answer: LCM of Numerators as per given numbers 34/153, 835/271, 780/991 is

LCM of Numerators i.e. for 34,835,780 is 2214420

GCF of denominators i.e. for 153,271,991 is 1.

Thus, LCM of Fractions is 2214420.Finally, LCM of Fractions for 34/153, 835/271, 780/991 is 2214420.