Least Common Multiple of 786/70, 735/16, 604/91

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 786/70, 735/16, 604/91 quickly i.e. 58156140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 786/70, 735/16, 604/91 is 58156140.

LCM(786/70, 735/16, 604/91) = 58156140

LCM of 786/70, 735/16, 604/91

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 786/70,735/16,604/91

Given numbers are 786/70,735/16,604/91

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 786,735,604

Least Common Multiple of Numerators i.e. LCM of 786,735,604 is 58156140.

GCF of Denominators means GCF of 70,16,91 as per the given fractions.

GCF of 70,16,91 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 786,735,604

LCM of Fractions 786/70,735/16,604/91 is 58156140

2 786, 735, 604
3 393, 735, 302
131, 245, 302

∴ So the LCM of the given numbers is 2 x 3 x 131 x 245 x 302 = 58156140

Least Common Multiple of 786,735,604 with GCF Formula

Least Common Multiple of 786,735,604 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 786,735,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,735,604) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(786,735,604) x common factors =1 x 6 = 6

LCM(786,735,604) = ( 786 × 735 × 604 ) / 6

LCM(786,735,604) = 348936840 / 6

LCM(786,735,604) = 58156140


Lets's calculate GCF of 70,16,91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58156140/1

Therefore the LCM of Fractions 786/70,735/16,604/91 is 58156140

Greatest Common Factor of 70,16,91 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,16,91 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Greatest Common Factor

We found the factors 70,16,91 . The biggest common factor number is the GCF number.
So the greatest common factor 70,16,91 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 786/70, 735/16, 604/91

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 786/70, 735/16, 604/91?

Answer: LCM of Numerators as per given numbers 786/70, 735/16, 604/91 is

LCM of Numerators i.e. for 786,735,604 is 58156140

GCF of denominators i.e. for 70,16,91 is 1.

Thus, LCM of Fractions is 58156140.Finally, LCM of Fractions for 786/70, 735/16, 604/91 is 58156140.