Least Common Multiple of 600/816, 770/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/816, 770/700 quickly i.e. 11550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/816, 770/700 is 11550.

LCM(600/816, 770/700) = 11550

LCM of 600/816, 770/700

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 600/816,770/700

Given numbers are 600/816,770/700

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 600,770

Least Common Multiple of Numerators i.e. LCM of 600,770 is 46200.

GCF of Denominators means GCF of 816,700 as per the given fractions.

GCF of 816,700 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,770

LCM of Fractions 600/816,770/700 is 11550

2 600, 770
5 300, 385
60, 77

∴ So the LCM of the given numbers is 2 x 5 x 60 x 77 = 46200

Least Common Multiple of 600,770 with GCF Formula

Least Common Multiple of 600,770 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 600,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,770) = 10

common factors(in case of two or more numbers have common factors) = 1

GCF(600,770) x common factors =10 x 1 = 10

LCM(600,770) = ( 600 × 770 ) / 10

LCM(600,770) = 462000 / 10

LCM(600,770) = 46200


Lets's calculate GCF of 816,700

2 816, 700
2 408, 350
204, 175

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46200/4

Therefore the LCM of Fractions 600/816,770/700 is 11550

Greatest Common Factor of 816,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,700 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 816,700 . The biggest common factor number is the GCF number.
So the greatest common factor 816,700 is 4.


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 600/816, 770/700

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 600/816, 770/700?

Answer: LCM of Numerators as per given numbers 600/816, 770/700 is

LCM of Numerators i.e. for 600,770 is 46200

GCF of denominators i.e. for 816,700 is 4.

Thus, LCM of Fractions is 11550.Finally, LCM of Fractions for 600/816, 770/700 is 11550.