Least Common Multiple of 3520/776, 8745/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3520/776, 8745/646 quickly i.e. 279840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3520/776, 8745/646 is 279840.

LCM(3520/776, 8745/646) = 279840

LCM of 3520/776, 8745/646

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 3520/776,8745/646

Given numbers are 3520/776,8745/646

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 3520,8745

Least Common Multiple of Numerators i.e. LCM of 3520,8745 is 559680.

GCF of Denominators means GCF of 776,646 as per the given fractions.

GCF of 776,646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3520,8745

LCM of Fractions 3520/776,8745/646 is 279840

5 3520, 8745
11 704, 1749
64, 159

∴ So the LCM of the given numbers is 5 x 11 x 64 x 159 = 559680

Least Common Multiple of 3520,8745 with GCF Formula

Least Common Multiple of 3520,8745 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 3520,8745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3520,8745) = 55

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

GCF(3520,8745) x common factors =55 x 1 = 55

LCM(3520,8745) = ( 3520 × 8745 ) / 55

LCM(3520,8745) = 30782400 / 55

LCM(3520,8745) = 559680


Lets's calculate GCF of 776,646

2 776, 646
388, 323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 559680/2

Therefore the LCM of Fractions 3520/776,8745/646 is 279840

Greatest Common Factor of 776,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,646 By Matching Biggest Common Factor Method

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 776,646 . The biggest common factor number is the GCF number.
So the greatest common factor 776,646 is 2.


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 3520/776, 8745/646

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 3520/776, 8745/646?

Answer: LCM of Numerators as per given numbers 3520/776, 8745/646 is

LCM of Numerators i.e. for 3520,8745 is 559680

GCF of denominators i.e. for 776,646 is 2.

Thus, LCM of Fractions is 279840.Finally, LCM of Fractions for 3520/776, 8745/646 is 279840.